The area of a rectangular concrete patio is 70 square meters. the perimeter is 34 meters. what are the dimensions of the patio? meters by meters submit
The area of a rectangular concrete patio is 70 square meters. the perimeter is 34 meters. what are the dimensions of the patio? meters by meters submit
7 and 10 because
perimeter you add all sides together like :
7 +7 +10 +10
14+20
34 (which checks out)
and then for area you multiply length and width and 7 x 10= 70 which checks out
Step-by-step explanation:
A = L * W
A = 70
70 = L * W
P = 2(L + W)
P = 34
34 = 2(L + W)
34/2 = L + W
17 = L + W
17 - W = L
70 = L * W
L = 17 - W
70 = W(17 - W)
70 = -W^2 + 17W
W^2 - 17W + 70 = 0
(W - 10)(W - 7) = 0
W - 10 = 0 L = 17 - 10
W = 10 L = 7
W - 7 = 0 L = 17 - 7
W = 7 L = 10
so either the width is 10 meters and the length is 7 meters OR the width is 7 meters and the length is 10 meters
7 and 10
I hope this is correct and helps.