3 years ago

A rectangle and an equilateral

Mathematics

1 answer:

jek_recluse [69]3 years ago

4 0

Answer:

The area of the rectangle = 50 cm^2.

Step-by-step explanation:

Let the shortest side of the rectangle be x cm.

Perimeter of the rectangle is:

2x + 2(x + 5).

Perimeter of the triangle = 3 * 2x.

As they have the same perimeter:

2x + 2(x + 5) = 3*2x

2x + 2x + 10 = 6x

6x - 2x - 2x = 10

2x = 10

x = 5 cm.

So the area of the rectangle = x(x + 5)

= 5 * 10

= 50 cm^2.

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