Answer:
Dimensions: 15m by 20m OR 20m by 15m
Step-by-step explanation:
Formula:
Area = lw
Perimeter = 2(l + w)
Given:
A = 300 m²
P = 70 m
Substitute the values to the formula
A = lw
300 m² = lw ----equation 1
P = 2(l+w)
70m = 2(l + w)
70m/2 = l + w
35m = l + w
l = 35m - w -----equation 2
Substitute equation 2 to equation 1
300m² = (35m - w) w
300 = 35w - w²
w² - 35w + 300 = 0
(w - 20)(w - 15) = 0
w = 20, w = 15
When w = 20
l = 35m - 20m
l = 15m
When w = 15
l = 35m - 15m
l = 20m
On this case, length x width can be
15m by 20m
OR
20m by 15m
