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

Question

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.

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

Let's begin by calculating side AB:

$AB=BC+40\%$

$AB=6+40\%$

$AB=6+\frac{40}{100}\times6$

$AB=6+\frac{4}{10}\times6$

$AB=6+\frac{4\times6}{10}=6+\frac{24}{10}=6+2.4=8.4$

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

$8.4\times6=50.4$

50.4