Question

The perimeter of the triangle is 56 cm, and the same values for x and y are used to construct the rectangle shown, where the length is 8 cm longer than the width. Find the values of x and y.

A. x = 12 cm, y = 12 cm
B. x = 16 cm, y = 8 cm
C. x = 10 cm, y = 12 cm
D. x = 14 cm, y = 7 cm

Answer 1

The width of the rectangle is 10 cm, and the length is 18 cm.

Step-by-step explanation:

Let's start by setting up the equations based on the given information. Let's assume that the width of the rectangle is x cm, and the length is 8 cm longer than the width, so the length is (x+8) cm. The perimeter of a rectangle is given by the formula: P = 2(length + width). Using this formula, we can write the equation:

2(x+8 + x) = 56

Simplifying the equation:

2(2x + 8) = 56

4x + 16 = 56

4x = 40

x = 10

So, the width of the rectangle (x) is 10 cm. The length (y) is 10 + 8 = 18 cm.