Question

The outline of a frame of a house is a rectangle that is 45 feet long and 24 feet high. The garage is attached to the house and the outline of its frame is 30 feet long and 16 feet high. Is the garage similar to the house

Answer 1

Answer:

Garage is similar to the House.

Step-by-step explanation:

Given:

Length of the frame of the house = 45 ft

Width of the frame of the house = 24 ft

Length of the frame of the garage = 30 ft

Width of the frame of the garage is = 16 ft

We need to find whether the garage is similar to the house.

Solution:

Now we can say that;

The rectangular garage is similar to rectangular house when the ratio of the length is similar to ratio of its width.

first we will find the ratio of the length.

ratio of the length = $\frac{\textrm{Length of the frame of the house}}{\textrm{Length of the frame of the garage}}=\frac{45}{30} =\frac{3}{2}$

ratio of the width = $\frac{\textrm{Width of the frame of the house}}{\textrm{width of the frame of the garage}}=\frac{24}{16} =\frac{3}{2}$

so we can say that;

ratio of the length is equal to ratio of the width.

Hence Garage is similar to the House.