Question

A blueprint is a scale drawing of a building. The dimensions of the blueprint for Patricia's doll house are 1/4 of the measurements of the actual doll house. The floor of the doll house has an area of 864 square inches. If the width of the doll house is 2/3 the length, what are the dimensions of the floor on the blueprint of the doll house?

Answer 1

Length: 9 inches.

Width: 6 inches.

Explanation:

Find the dimensions of the floor of the doll house.

Apply the formula:

`A=lw`

Where A is the area, l is the lenght and w is the width.

You know that:

`A=864\\w=(2)/(3)l`

Then you can solve for l:

`864=l((2)/(3)l)\\\\864=(2)/(3)l^2\\\\l=\sqrt{(864*3)/(2)}\\\\l=36in`

Then the width is:

`w=(2)/(3)(36)=24in`

Therefore, the dimensions of the floor on the blueprint of the doll house are:

`l'=(1)/(4)(36in)=9in\\\\w'=(1)/(4)(24in)=6in`