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 rectangle ABCD

00:03 The formula for calculating rectangle area is side(AB) multiplied by side (BC)

00:07 Side length according to the given data

00:16 Convert the percentage to fractions and multiply by itself

00:19 This is how we convert percentages to calculable numbers

00:22 Reduce what can be reduced

00:32 Multiply fractions systematically: numerator with numerator, denominator with denominator

00:46 This is the length of side AB

00:56 Now that we have all sides, we can calculate the area

01:07 Let's substitute appropriate values for the sides and solve to find the area

01:15 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