Question

The length of a rectangle is 18 cm and the width is 6 cm. A similar rectangle has a width of 2 cm.What is the length of the second rectangle? pls help im solving hw ._.

Answer 1

Given:

Two rectangles are similar.

Length of first rectangle = 18 cm

Width of first rectangle = 6 cm

Width of second rectangle = 2 cm

To find:

The length of the second rectangle.

Solution:

We know that the corresponding sides of similar triangles are proportional. So,

$\dfrac{\text{Length of first rectangle}}{\text{Width of first rectangle}}=\dfrac{\text{Length of second rectangle}}{\text{Width of second rectangle}}$

Let x be the length of the second rectangle. Then,

$\dfrac{18}{6}=\dfrac{x}{2}$

$3=\dfrac{x}{2}$

$3\times 2=x$

$6=x$

Therefore, the length of the second rectangle is 6 cm.