Question

The perimeter of the rectangle below is 96 units. Find the length of side AB.

Write your answer without variables.
D
4y + 2
A
5y + 1
C
B

Answer 1

Answer:26

Step-by-step explanation: As the shape is a rectangle we know that the opposite sides are equal.

So Side DC = Side AB = 5y + 1 and Side DA = Side CB = 4y+2.

Using the information above, we can then write out the equation:

2(5y + 1 + 4y + 2) = 96

After simplifying it, we would get:

2(9y + 3)=96

9y + 3 = 48

9y = 45

y = 5

We can then plug in the value of y into the equation 5y+1:

5y + 1

5(5) + 1

25 +1

26