Area of a rectangular lawn is the same as the area of a 36 m long square.If the length of the rectangular lawn is 40m,find the perimeter of the lawn.
Answers
Answer:
area of square= 36m*36m=1296m square
area of rectangular plot= 1296m square
l*b=1296
40*b=1296
b=1296÷40
b=32.4
now, perimeter of rectangular plot
=2(l+b)
=2(40+32.6)
=2(72.6)
=145.2m
Answer:
Breadth of the rectangular lawn = 32.4 m
Perimeter of rectangular lawn = 144.8 m
Step-by-step explanation:
Area of rectangular lawn = Area of square
Side of square = 36
Area = 36 × 36 = 1296 m²
36 m = 36 m
Length of the rectangular lawn = 40 m
l × b = 1296
40 × b = 1296
b = 1296/40
b = 32.4 m
Breadth of the rectangular lawn = 32.4 m
Perimeter of rectangular lawn = 2(l+b)
2(40 + 32.4) = 2 × 72.4
= 144.8 m
Check ⇒
Area of rectangular lawn = Area of square
1296 m² = 1296 m²
Length of rectangular lawn = 40 m
Breadth of rectangular lawn = 32.4 m
Area of rectangular lawn = l × b
= 40 × 32.4
= 1296 m²
Area of square = S × S
S = 36 m
Area of square = 36 × 36
= 1296 m²
Perimeter of rectangular lawn = 2(l+b)
= 2(40 + 32.4)
= 2 × 72.4
= 144.8 m
Hence, the answer is correct.