The rectangle below has a length of 7 centimeters and a width of 3 centimeters. Three centimeters are subtracted from the length, and c centimeters are added to the width. The area of the new rectangle is 32 square centimeters. What is the value of c? A. 1 centimeters
B. 3 centimeter
C. 5 centimeters
D. 10 centimeters

C

Step-by-step explanation:

7 - 3 = 4 = Length

3 + c = ? = w

A = 32

32 ÷ 4 = 8 = w

8 - 3 = 5 = number added to width

5 = c

Word explanation:

To find the number added, you have to figure out the length so that you could divide it by area to figure out the width.

So, to do that, you follow what the question said, "Three centimeters are subtracted from the length." = 7 - 3 = l = 4

Then, you move on to figure out the width, so you divide the area by the length = 32 ÷ 4 = 8 = width.

Now that you know the width, you continue to follow what the question said, "C centimeters are added to width."

= 3 (previous width) + c = 8 (new width)

After that, you subtract 8 - 3 to find the amount added to the width and that gives you 5, which is C.

m∠a is 90°

m∠b is 40°