The length of a rectangle is 8m more than 6 times the width. The perimeter is 156m. Find width.

Question

Mathematics

Madelyn Stewart

12 July, 04:12

The length of a rectangle is 8m more than 6 times the width. The perimeter is 156m. Find width.

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Answers (1)

Know the Answer?

June Shepard · Answer 1

Width of the rectangle is 10 m

Step-by-step explanation:

Step 1:

Let the width of the rectangle be x. Then length of the rectangle will be 8 + 6x. Perimeter = 156m

Perimeter of a rectangle = 2 (length + width)

⇒ 156 = 2 (8 + 6x + x)

⇒ 156 = 16 + 14x

⇒ 140 = 14x

∴ x = 140/14 = 10 m

⇒ Width of the rectangle is 10 m