Question

Finding a side length given the perimeter and side lengths with...

The perimeter of the rectangle below is 90 units. Find the length of side PQ
Write your answer without variables.
S
P
4=
R
32 +3
O

Answer 1

The perimeter of the rectangle is given as 90 units. To find the length of side PQ, we need to determine its value without using variables.

Let's consider the given information:

One side of the rectangle is labeled as 32 units.

The other side (PQ) is labeled as 3 units shorter than side SR.

To find the length of side PQ, we can set up an equation based on the perimeter:

Perimeter = 2 * (Length + Width)

Where:

Length is side SR, which is 32 units.

Width is side PQ.

Plugging in the values:

90 = 2 * (32 + Width)

Now, we can solve for Width (PQ):

90 = 64 + 2 * Width

Subtract 64 from both sides:

90 - 64 = 2 * Width

26 = 2 * Width

Now, divide by 2 to isolate Width:

Width = 26 / 2

Width = 13

So, the length of side PQ (Width) is 13 units.

Explanation: