11.5k views
4 votes
The perimeter of the rectangle is 96 units. Find the length of side PS

The perimeter of the rectangle is 96 units. Find the length of side PS-example-1
User Pandichef
by
7.3k points

1 Answer

5 votes

Hello there. To solve this question, we'll have to remember some properties about finding the perimeter of a rectangle.

First, knowing that parallel sides on a rectangle have equal measures, we know that:

RQ also measures 3y + 3 and PQ measures 2y.

Now, the perimeter is adding the measures of all the sides of the rectangle. We have that:

PS + SR + RQ + PQ = 3y + 3 + 2y + 3y + 3 + 2y = 10y + 6

Knowing that this perimeter is equal to 96, we make:

96 = 10y + 6

Subtract 6 on both sides of the equation

10y = 90

Divide both sides of the equation by a factor of 10

y = 9

Now, to find the measure of the side PS, we plug in the value we found for y in the expression for the side

3 * 9 + 3

Multiply and add the values

27 + 3

30

User Fabla
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories