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=214 114+2s=934 2s=934−214 2s−214=934

Answer 1

Answer:

934−2s=214;  Yes

114+2s=934; No

2s=934−214; Yes

2s−214=934; No

Step-by-step explanation:

The base of the triangular cloth is 214cm. The remaining two sides are the same length.

Let s be the length of other sides.

Perimeter = Sum of all sides of a triangle.

$Perimeter = s+s+214$

$Perimeter =2s+214$

It is given that the perimeter of the triangular cloth is 934 cm.

$2s+214=934$        .... (1)

Equation (1) can be rewritten as

$2s=934-214$           and $214=934-2s$

On solving we get

$2s=720$

Divide both sides by 2.

$s=360$

Therefore, the length of the other two sides of Evan's cloth is 360 cm.