Calculate Rectangle Area: 8-Unit Width and 2-Unit Height Problem

Question

Look at the rectangle below.

888222AAABBBCCCDDDEEEFFF

What is the area of the rectangle ABCD?

Video Solution

Solution Steps

00:00 Find the area of rectangle ABCD
00:03 Opposite sides are equal in the rectangle
00:09 The line intersects the side according to the given data
00:16 The entire side equals the sum of its parts
00:22 Now we'll use the formula for calculating rectangle area
00:25 Side(AB) multiplied by side(BC)
00:28 We'll substitute appropriate values and solve to find the area
00:31 And this is the solution to the question

Step-by-Step Solution

Since in a rectangle every pair of opposite sides are equal, we can claim that:

AB=DC=8 AB=DC=8

and also:

BE=EC=2 BE=EC=2

In other words, BC equals 4

Now we can find the area of the rectangle by multiplying the length by the width:

AB×BC=8×4=32 AB\times BC=8\times4=32

Answer

32 cm²