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

Explanation:

solution.

Let S represent side of the equilateral triangle.

perimeter of equilateral ∆ =3×S

Therefore,if we let width to be represented by W

Width of rectangle=W

Length of rectangle=2W

one side of equilateral triangle= W+8

Therefore after analysing the question, the true statement is; The length of the rectangle is 2W

Answer 2

B.) the length of the rectangle is 2w.

C.) a multi step equation will represent the scenario.

D.) a key word to identify is equal.

Explanation: