Rectangle Area Problem: Calculate AB When Area = 44 and AC = 4

Question

The area of the rectangle below is equal to 44.

AC = 4

Calculate AB.

444444444AAABBBDDDCCC

Video Solution

Solution Steps

00:00 Determine the value of AB
00:03 The formula for calculating the area of a rectangle is width(AB) multiplied by length(AC)
00:07 Substitute in the relevant values according to the given data and proceed to solve for AB
00:13 This is the solution

Step-by-Step Solution

The area of the rectangle is equal to its length multiplied by its width.

Let's begin by substituting the known data into the formula:

S=AB×AC S=AB\times AC

44=AB×4 44=AB\times4

Let's now divide both sides by 4:

AB=11 AB=11

Answer

11