A rectangle is 3 times as long as it is wide. The perimeter is 60 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.

Question

Makaila Fletcher

Mathematics

9 July, 03:58

A rectangle is 3 times as long as it is wide. The perimeter is 60 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.

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Answers (2)

Know the Answer?

String Bean · Answer 1

length = 3x

width = x

2 (3x) + 2x = 60

6x + 2x = 60

8x = 60

x = 7.5

length = 3 * 7.5 = 22.5

width = 7.5

Melody Vincent · Answer 2

Length = 7.5, Width = 22.5 units.

Step-by-step explanation:

Given : A rectangle is 3 times as long as it is wide. The perimeter is 60 cm.

To find : Find the dimensions of the rectangle. Round to the nearest tenth if necessary.

Solution : We have given

Let the width of rectangle = x.

According to question

Length of rectangle = 3x

Perimeter of rectangle = 2 (length + width)

Plug the values

60 = 2 (x + 3x).

60 = 2 (4x).

60 = 8x.

On dividing both sides by 8.

x = 7.5

Length = 7.5 units

width = 3x = 7.5 * 3 = 22.5 units

Therefore, Length = 7.5, Width = 22.5 units.