Question

The perimeters of a rectangle and an equilateral triangle are equal. The length of the rectangle is twice the width, and the side of the triangle is 8 more than the width of the rectangle. Which statements about this scenario are true if we use the variable w to represent the width of the rectangle?

Check all that apply.
The side of the triangle is w – 8.
The length of the rectangle is 2w.
A multistep equation will represent the scenario.
A key word to identify is equal.
A key word to identify is variable.

Answer 1

Answer:

ANSWER

Let the side of the equilateral triangle be s

And the side of the square be a

We know that,

Perimeter of the triangle=3s

and Perimeter of the square =4a

Given that the triangle and the square have the same perimeter and s=8

⇒3s=4a

⇒3×9.6=4a

a=7.2

Answer 2

Answer:

The length of the rectangle is 2w.

A multistep equation will represent the scenario.

A key word to identify is equal.

Step-by-step explanation: