Houghton Mifflin Harcourt Algebra 1, 2015
HM
Houghton Mifflin Harcourt Algebra 1, 2015 View details
Ready to Go On?
Continue to next subchapter

Exercise 4 Page 33

Form ratios and then a proportion.

6 centimeters

Practice makes perfect

In order to find the height of the new enlarged rectangle, we can write ratios and a proportion using the given information. Let's write the ratios to compare the heights and lengths of the rectangles. Notice that the height of the new rectangle is represented by x.

Actual height/Actual length = 4 cm/11cmHeight of the new rectangle/Length of the new rectangle = x/16.5 cm

Since these ratios are proportional, we can set them equal to each other and solve for x.

x/16.5=4/11
x=4/11 * 16.5
x=4*16.5/11
x=66/11
x=6

We have shown that the height of the new rectangle is 6 centimeters.