Question

The length of a rectangle is 4 more than 3 times the width. If the perimeter of the rectangle is 18.4 cm, what is the area of the rectangle?

Answer 1

Area of the rectangle is 10.27 cm²

Step-by-step explanation:

• Step 1: Let the width of the rectangle be x, then length = 4 + 3x. Find the dimensions if perimeter = 18.4 cm

Perimeter = 2(length + width)

⇒ 18.4 = 2 (x + 4 + 3x)

⇒ 18.4 = 2(4x + 4)

⇒ 18.4 = 8x + 8

⇒ 8x = 10.4

⇒ x = 10.4/8 = 1.3

∴ 4 + 3x = 4 + 3×1.3 = 7.9

• Step 2: Find area of the rectangle.

Length = 7.9 cm and width = 1.3 cm

⇒ Area = length × width

             = 7.9 × 1.3 = 10.27 cm²