Question

Evan cut a triangular piece of cloth to use in a quilt. The perimeter of the cloth is 934 cm. The base of the triangular cloth is 214cm. The remaining two sides are the same length.

Choose Yes or No to tell if each expression models how to find the length of the other two sides of Evan’s cloth.

934−2s=214

Choose...

114+2s=934

Choose...

2s=934−214

Choose...

2s−214=934

Choose...

Answer 1

934−2s=214 and 2s=934−214

Explanation:

To represent this situation, we need all three sides to add up to 934, which is the perimeter of the triangle. So we have:

`214+2s=934`

Where s are the two remaining sides.

The first and third choice resembles this exact equation, but rearranged:

First equation:

`934-2s=214\\934=214+2s`

Third equation:

`2s=934-214\\214+2s=934`

The other two choices either have different operations or different values.