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.

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, .

Then ,

Now, the  length of the model =

The width of the model =  

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 :_

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

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are