The ratio of the length to the width of a rectangle is 7:4. If its perimeter is 88 cm, what is its area?
Show answer & explanation
Correct answer: A
Explanation
given :
Length : Width = 7 : 4
Perimeter = 88 cm
According to the formula:
Perimeter = 2(L + B)
Area = L × B
Let L = 7x, B = 4x
2(7x + 4x) = 88
2(11x) = 88
22x = 88
x = 4
L = 7 × 4 = 28
B = 4 × 4 = 16
Area = 28 × 16 = 448
Area = 448 cm²