A blueprint is a scale drawing of a building. The dimensions of the blueprint for Patricia dollhouse are 1/2of the measurements of the actual dollhouse. The floor of the dollhouse has an area of 588 square inches. If the width of the dollhouse is 1/3 the length, what are the dimensions of the floor on the blueprint of the dollhouse?

First, we will choose two numbers that have a product of 588 because it's the area of the floor of the doll house, where the width of the doll house is [tex]\frac{1}{3}[/tex] the length.

Guess: 12 inches width and inches length. Then, we will check those numbers. Is the width of the floor is [tex]\frac{1}{3}[/tex] of its length?

[tex]\frac{1}{3}[/tex] x 36 = 12

So, our guess is Correct.

So, the dimensions of the floor of the doll house are 36 feet and 12 feet.

To find what are the dimensions of the floor on the blueprint of the doll house, we will find when multiply the length (36 inches) and width (12 inches) by scaling factor [tex]\frac{1}{2}[/tex]

The length of the dimensions of the floor on the blueprint of the doll house is:

[tex]\frac{1}{2} * 36[/tex] = 18 inches

The width of the dimensions of the floor on the blueprint of the doll house

is:

[tex]\frac{1}{3} * 12[/tex] = 4 inches