Question

If the area of a rectangle is 85 square meters, and the width is ten meters

Answer 1

Answer: E.) 41.95m

Step-by-step explanation:

Area (A) = 85 square meters

Length (L) = a

Width (W) = (a - 10) meters

Area of rectangle(A) = Length (L) × Width (W)

85 = a × (a - 10)

85 = a^2 - 10a

a^2 - 10a - 85 = 0

Using quadratic equation solver :

a = 15.488088482 or a = −5.488088482

Since a cannot be negative, a = 15.49m

Therefore, Length (L) = 15.488m

Width(W) = a - 10 = (15.488 - 10) = 5.488m

Perimeter of rectangle(P) :

P = 2 (L + W)

P = 2 (15.488 + 5.488)

P = 2(20.976)

P = 41.952m

P = 41.95m