Calculate Rectangle Area: Side Length 9cm with 35% Longer Base

Rectangle ABCD is shown below.

AD = 9 cm
Side AB is 35% longer than side AD.

Calculate the area of the rectangle.

999AAABBBCCCDDD

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the area of rectangle ABCD
00:04 The formula for calculating rectangle area is side(AB) multiplied by side (AD)
00:16 Side length according to the given data
00:21 Let's substitute appropriate values and solve for AB
00:30 Convert the percentage to fractions and multiply by the number itself
00:39 This is how we convert percentages to a calculatable number
00:48 We'll move the 9 to the numerator and solve
01:03 This is the length of side AB
01:17 Now we can substitute values in the area formula and solve
01:35 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Rectangle ABCD is shown below.

AD = 9 cm
Side AB is 35% longer than side AD.

Calculate the area of the rectangle.

999AAABBBCCCDDD

2

Step-by-step solution

First, let's find the length of side AB:

AB=AD+35% AB=AD+35\%

AB=9+35% AB=9+35\%

AB=9+35100×9 AB=9+\frac{35}{100}\times9

AB=9+35×9100 AB=9+\frac{35\times9}{100}

AB=9+315100 AB=9+\frac{315}{100}

AB=9+3.15=12.15 AB=9+3.15=12.15

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

12.15×9=109.35 12.15\times9=109.35

3

Final Answer

109.35

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle ABCD below.

Side AB is 6 cm long and side BC is 4 cm long.

What is the area of the rectangle?
666444AAABBBCCCDDD

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