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

Question

Rectangle ABCD is shown below.

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

Calculate the area of the rectangle.

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

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

$AB=AD+35\%$

$AB=9+35\%$

$AB=9+\frac{35}{100}\times9$

$AB=9+\frac{35\times9}{100}$

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

$AB=9+3.15=12.15$

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

$12.15\times9=109.35$

109.35