Question

A rectangular flower garden has an area of 28square meters and a perimeter of 22meters .What are the dimension of the garden​

Answer 1

7 and 4

Explanation:

l*w=A

2(l)+2(w)=P

7*4=28

2(7)+2(4)=22

Answer 2

7m x 4m

Explanation:

Area of a rectangle (A) = L * W -----1

Perimeter (P) = 2L + 2W ----------2

where:

A = 28 sq. m.

P = 22 m.

we can use either formula 1 or 2 to get L or W

say

A = L * W

28 = L * W

L = 28 / W

substitute L = 28 / W into formula 2

P = 2L + 2W

22 = 2(28 / W) + 2W then multiply W on each side

22W = 56 + 2W²

solve W using quadratic equation:

W = 7 and W = 4

therefore

the dimension of the garden is: 7m x 4m