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The perimeter of a triangular field is 420 m and its sides are in the ratio 6 : 7 : 8. Find the area of the field.
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Sides are
Area
In the figure, find the area of the shaded region.
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Area of
Area of
Area of shaded region
Two sides of a triangle are 50 cm and 78 cm. Its perimeter is 240 cm. Find the altitude on the side of length 50 cm from the opposite vertex.
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Third side
Area
A triangle has sides 35 cm, 54 cm and 61 cm long. Find its area. Also, find the smallest of its altitude.
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Area
The sides of a triangular field are \(41\ m,\ 40\ m\) and \(9\ m\). Find the number of rose beds that can be prepared in the field, if each rose bed, on an average needs \(900\ cm^2\) space.
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Area
Number of flower beds
A rhombus shaped sheet with perimeter \(40\ cm \) and one diagonal \(12\ cm \) is painted on both sides at the rate of \(Rs\ 5 \) per\(cm^2 \). Find the cost of painting.
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Area of
Area of rhombus
Cost of painting on both sides
In the figure, find the area of the trapezium PQRS with height PQ.
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Area of
Area of rectangle
Area of trapezium
The ratio of the equal side to the base of an isosceles triangle is 3 : 2. If the perimeter of the triangle is 32 cm, find its area.
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Sides are
Area
The lengths of the two sides of a right triangle containing the right angle differ by \(2\ cm \). If the area of the triangle is \( 24\ cm^2\), find the perimeter of the triangle.
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Area
Perimeter
Calculate the area of the triangle whose sides are 18 cm, 24 cm and 30 cm in length. Also, find the length of the altitude corresponding to the smallest side.
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Area
The sides of a triangular ground are 5m, 7m and 8m respectively. Find the cost of levelling the ground at the rate of Rs. 10 per \(m^2 \). (use \(\sqrt3=1.73 \))
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Area
cost
Find the area of a quadrilateral ABCD whose sides AB = 13 cm, BC = 12 cm, CD = 9 cm, DA = 14 cm and diagonal BD = 15 cm.
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Area of quadrilateral
A triangular park has sides 120 m, 80 m and 50 m. A gardener has to put a fence all around it and also plant grass inside. How much area does he need to plant ? Find the cost of fencing it with barbed wire at the rate of Rs 20 per metre leaving a space 3 m wide for a gate on one side.
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Area
Perimeter
Length of wire needed
Cost of fencing
Sides of a triangle are in the ratio 13 : 14 : 15 and its perimeter is 84 cm. Find its area.
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Sides are
Area
The adjacent sides of a parallelogram ABCD measure 34 cm and 20 cm and the diagonal AC measures 42 cm. Find the area of the parallelogram.
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Area of
Area of parallelogram
The sides of a triangle are in the ratio of 12 : 17 : 25 and its perimeter is 540 cm. Find its area.
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Sides are
Area
Find the height of the trapezium in which parallel sides are 25 cm and 10 cm and nonparallel sides are 14 cm and 13 cm.
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Area of
The sides of a triangular park are 8 m, 10 m and 6 m respectively. A small circular area of diameter 2 m is to be left out and the remaining area is to be used for growing roses. How much area is used for growing roses ? (use \(\pi=3.14 \))
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Area
Area of circle
Area used for growing grasses
The perimeter of a triangular ground is 900 m and its sides are in the ratio 3 : 5 : 4. Using Heronâ€™s formula, find the area of the ground.
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Sides are
Area
Find the perimeter of an isosceles right triangle having an area of \(200\ cm^2 \).
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Perimeter
Find the area of a rhombus whose perimeter is 200 m and one of the diagonals is 80 m.
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Area
A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 15 cm, 14 cm and 13 cm and the parallelogram stands on the base 15 cm, find the height of parallelogram.
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Area
A triangular park in a city has dimensions \(30\ m \times 26\ m \times 28\ m\). A gardener has to plant grass inside the park at Rs 1.50 per \(m^2 \). Find the amount to be paid to the gardener.
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Area
Cost
A garden is in the shape of a quadrilateral. The sides of the garden are 9 m, 40 m, 28 m and 15 m respectively in consecutive order and the angle between first two sides is a right angle. Find the area of the garden.
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Area of
Area of
Area of the garden
If each side of a triangle is doubled, then find the ratio of area of the new triangle thus formed and the given triangle.
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Area of the triangle
Sides of the new triangle
Area of the new triangle
area of triangle
Ratio =
In the figure, the dimensions of the rectangle ABCD are \(51\ cm \times 25\ cm\). A trapezium PQCD with its parallel sides QC and PD in the ratio 9 : 8, is cut off from the rectangle. If the area of the trapezium PQCD is \(\dfrac{5}{6} \) th part of the rectangle, find the lengths QC and PD.
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Area of rectangle ABCD â€¦(1)
Let
Area of trapezium
â€¦(2)
Area of (Area of ) (given)
Two parallel sides of a trapezium are 60 cm and 77 cm and other sides are 25 cm and 26 cm. Find the area of the trapezium.
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Area
Area of trapezium
Find the area of the quadrilateral shown in the figure.
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Area of
Area
Area of
Area
Area of quadrilateral
The perimeter of a triangle is 50 cm. One side of the triangle is 4 cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. Find the area of the triangle.
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Let the smaller side
one side
Third side
Sides are
Area
In the figure, ABC has sides AB = 7.5 cm, AC = 6.5 cm and BC = 7 cm. On base BC a parallelogram DBCE of same area as that of ABC is constructed. Find the height DF of the parallelogram.
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Area
Area of parallelogram
In the figure, find the area of the quadrilateral PQRS.
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Area of
Area
Area of
(approx)
Area of