Mathematics
A path of uniform width, 3 m, runs around the outside of a square field of side 21 m. Find the area of the path.
Area Trapezium Polygon
10 Likes
Answer
Given:
The side of the square field is 21 m.
The width of the path is 3 m.
Area of the path = Area of bigger square field - Area of smaller square field
The side of the bigger square = 21 m + 3 m + 3m
= 27 m
As we know, the area of square = side2
⇒ Area of the bigger square = 272 m2
= 729 m2
⇒ Area of the smaller square = 212 m2
= 441 m2
So, the area of the path = 729 - 441 m2
= 288 m2
Hence, the area of the path is 288 m2.
Answered By
8 Likes
Related Questions
Each side of a rectangle is doubled. Find the ratio between :
(i) perimeters of the original rectangle and the resulting rectangle
(ii) areas of the original rectangle and the resulting rectangle
In each of the following cases ABCD is a square and PQRS is a rectangle. Find, in each case, the area of the shaded portion. (All measurements are in metre).
(i)
(ii)
A path of uniform width, 2.5 m, runs around the inside of a rectangular field 30 m by 27 m. Find the area of the path.
The length of a hall is 18 m and its width is 13.5 m. Find the least number of square tiles, each of side 25 cm, required to cover the floor of the hall,
(i) without leaving any margin.
(ii) leaving a margin of width 1.5 m all around.
In each case, find the cost of the tiles required at the rate of ₹ 6 per tile.