Rectangle Area: Calculate When One Side is 6cm and Another is 40% Longer

Given below is the rectangle ABCD.

Given in cm: BC = 6

Side AB is 40% longer than side BC.

Calculate the area of the rectangle.

666AAABBBCCCDDD

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the area of the rectangle
00:06 Use the given ratio of sides
00:15 Substitute appropriate values according to the given data, calculate the percentages
00:22 Reduce what can be reduced
00:29 Make sure to multiply numerator by numerator and denominator by denominator
00:47 This is the length of the side
00:56 Use the formula to calculate the area of a rectangle (side times side)
01:03 Substitute appropriate values according to the given data and calculate to find the area
01:13 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

Given below is the rectangle ABCD.

Given in cm: BC = 6

Side AB is 40% longer than side BC.

Calculate the area of the rectangle.

666AAABBBCCCDDD

2

Step-by-step solution

Let's begin by calculating side AB:

AB=BC+40% AB=BC+40\%

AB=6+40% AB=6+40\%

AB=6+40100×6 AB=6+\frac{40}{100}\times6

AB=6+410×6 AB=6+\frac{4}{10}\times6

AB=6+4×610=6+2410=6+2.4=8.4 AB=6+\frac{4\times6}{10}=6+\frac{24}{10}=6+2.4=8.4

We can now calculate the area of the rectangle by multiplying the length by the width:

8.4×6=50.4 8.4\times6=50.4

3

Final Answer

50.4

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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