Question

3. The ratio of the width to the length of a rectangle is 4:5. If the area of the rectangle is 500 square centimeters, what is the length of the rectangle?

5 centimeters
9 centimeters
20 centimeters
25 centimeters​

Answer 1

25 centimeters​

Explanation:

Ratio 4:5 means:

width: W = 4x

length: L = 5x

Area of rectangle: A = W×L

Therefore:

500 = 4x×5x

500 = 20x²

50 = 2x²

x² = 25

x = 5

W = 4×5 = 20 cm

L = 5×5 = 25 cm