A gardener has to lay a grass lawn, leaving a space for an 80 cm wide bed of flowers along the inside edge of a square garden with an area of 72.25cm squared. What will be the area of the grass lawn?
Answers
Answer:
The area of grass lawn=47.6m²
Step-by-step explanation:
Length of square garden be y.
Area of square garden=y²
Area of square garden =72.25m²
y²=72.25
y=8.5m
y=850cm
The length of flower bed=80cm
Therefore the length of grass lawn becomes 850-160=690cm
The length of grass lawn is found to be 690cm, since the flower bed occupies 80 cm on one side and 80 cm on other side so as a total it reduces each side of grass lawn by 160 cm so the length of grass lawn is found to be 690cm, again the grass lawn will be in the shape of an square as equal length is occupied by the flower bed on each side of the square garden
Area of grass lawn=690²
=690×690
=47.6m²
Therefore the area of grass lawn=47.6m²
Concepts involved is formula for finding area of square.
Ara of grass lawn=Area of square garden-Area occupied by flowerbed