A home-owner is installing a fence around the square garden. The garden has a perimeter of 6480 cm. Write and solve the equation to find the garden’s dimensions , (i) What other values will be needed if instead of square it is a rectangular or circular garden?
(ii) What will happen if we have to level the grass inside it instead of fencing the garden?
(iii) What will happen if there is a path running inside it?
Answers
Given :- A home - owner is in st al li ng a fe nc e around the square garden. The garden has a perimeter of 6480 cm.
Solution :-
Let us assume that, side of square is x cm .
so,
→ 4 * side = 6480
→ 4x = 6480 { Required equation .}
→ x = 1620 cm .
now, if instead of square it is a rectangular garden and circular garden :-
- Length and breadth must be given .
- Or Relationship between length and breadth is given .
- for circular garden we can find radius by :- 2 * π * radius = perimeter of circumference of garden .
now, if we have to level the grass inside it instead of fencing the garden , we need to find the area of square .
then,
→ Required area = (side)² = (1620)² = 2624400 cm²
if there is path of width x is running inside , then,
→ Area of path = (1620)² - (1620 - 2x)²
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