Question

An architect builds a model of a park in the shape of a rectangle. The model is 40.64 centimeters long and 66.04 centimeters wide. One inch equals 2.54 centimeters. Use the ratio table to find the ratio of the length to the sum of the length and width in inches and in simplest form.

Answer 1

Answer: 8: 21

Step-by-step explanation:

Given : An architect builds a model of a park in the shape of a rectangle. The length of the model = 40.64 centimeters

The width of the model = 66.04 centimeters

Since, $\text{One inch = 2.54 centimeters}$.

Then , $\text{One centimeter}=\dfrac{1}{2.54}\text{ inch}$

Now, the  length of the model = $\dfrac{1}{2.54}\times40.64=16\text{ inches}$

The width of the model =  $\dfrac{1}{2.54}\times66.04 =26\text{ inches}$

Sum of length and width = 16+26=42 inches

Now, the ratio of the length to the sum of the length and width in inches :_

$\dfrac{16}{42}=\dfrac{8}{21}$

Hence, the ratio of the length to the sum of the length and width in inches  in simplest form = 8:21

Answer 2

The answer is 16 inches long and 26 inches wide.