Mathematics
A rectangular plot 30 m long and 18 m wide is to be covered with grass leaving 2.5 m all around it. Find the area to be laid with grass.
Answer
ABCD is a rectangular plot and PQRS is an area that has to be laid with grass.
Given,
Length of plot = AD = BC = 30 m
Width of plot = AB = CD = 18 m
From figure,
PQ = AB - 2.5 - 2.5 = 18 - 5 = 13 m
PS = BC - 2.5 - 2.5 = 30 - 5 = 25 m
Area of the rectangle PQRS that has to be laid with grass = length × breadth
= PS × PQ
= 25 × 13
= 325 m2.
Hence, area to be laid with grass = 325 m2.
Related Questions
The perimeter of a rectangle is 81 m and its breadth is 12 m. Find its length and area.
A foot path of uniform width runs all around inside of a rectangular field 45 m long and 36 m wide. If the area of the path is 234 m2, find the width of the path.
The adjoining diagram shows two cross paths drawn inside a rectangular field 45 m long and 38 m wide, one parallel to length and the other parallel to breadth. The width of each path is 4 m. Find the cost of gravelling the paths at ₹ 5.60 per m2.
