Advertisements
Advertisements
प्रश्न
A square lawn is surrounded by a path 2.5 m wide. If the area of the path is 165 m2 find the area of the lawn.
Advertisements
उत्तर
Area of path = 165 m2
Width of path = 2.5 m
Let the side of square lawn = x m
∴ Outer side = x + 2 × 2.5
= (x + 5) m
Expand and simplify
∴ Area of path = (x + 5)2 − x2
⇒ x2 + 10x + 25 − x2 = 165
⇒ 10x = 165 − 25 = 140
⇒ x = `140/10` = 14 m
∴ Side of lawn = 14 m
and area of lawn = (14)2 m2 = 196 m2
APPEARS IN
संबंधित प्रश्न
In the figure given below, find the area of shaded region: (All measurements are in cm)
In the figure given below, find the area of shaded region: (All measurements are in cm)
One side of a parallelogram is 20 cm and its distance from the opposite side is 16 cm. Find the area of the parallelogram.
If the area of a rhombus is 112 cm2 and one of its diagonals is 14 cm, find its other diagonal.
One side of a parallelogram is 18 cm and its area is 153 cm2. Find the distance of the given side from its opposite side.
The adjacent sides of a parallelogram are 15 cm and 10 cm. If the distance between the longer sides is 6 cm, find the distance between the shorter sides.
The area of an equilateral triangle is (`64xxsqrt3`) cm2. Find the length of each side of the triangle.
The sides of a triangle are in the ratio 15 : 13 : 14 and its perimeter is 168 cm. Find the area of the triangle.
The length and breadth of a rectangular paper are 35 cm and 22 cm. Find the area of the largest circle which can be cut out of this paper.
From each corner of a rectangular paper (30 cm x 20 cm) a quadrant of a circle of radius 7 cm is cut. Find the area of the remaining paper i.e., shaded portion.
