Question

• The dimensions of a rectangle are 3x by 4x-9. Find x if the perimeter is 52.

Draw a picture if you need a visual

Answer 1

x = 6, length of the rectangle is 18cm, and width is 21cm

Explanation:

To solve this problem, we can use the perimeter of a rectangle formula: P = 2l + 2w.

Here, l = 3x and w = 4x - 9, so the perimeter is P = 2(3x) + 2(4x - 9) = 52.

Solving for x, we get x = 6.

Therefore, the length of the rectangle is 3x = 18 cm, and the width is 4x - 9 = 21 cm.