Question

Rectangles J and K are similar. If the area of rectangle J is 440, what is the area of rectangle K? I need this today

Answer 1

Answer:

$Area = 27.5$

Step-by-step explanation:

Given

$J_{Area} = 440$

$J_{Width} = 22$

$K_{Width} = 5.5$

See attachment

Required

Determine the area of K

First, we need to calculate the length of the rectangle  J

$J_{Length} * J_{Width} = J_{Area}$

This gives:

$J_{Length} * 22 = 440$

Divide both sides by 22

$\frac{J_{Length} * 22}{22} = \frac{440}{22}$

$J_{Length} = 20$

So, the length of the rectangle J is 20.

Since both shapes are similar, then:

$J_{Length} : J_{Width} = K_{Length} : `K_{Width}$

Substitute the known values:

$20 : 22 = K_{Length} : `5.5$

Express as fraction:

$\frac{20 }{ 22 }= \frac{K_{Length} }{ `5.5}$

Make Length, the subject of formula

$K_{Length} = \frac{5.5 * 20}{22}$

$K_{Length} = \frac{110}{22}$

$K_{Length} = 5$

The area of K is:

$Area = K_{Length} * K_{Width$

$Area = 5.5 * 5$

$Area = 27.5$