High School

A blueprint of a house plan uses a scale in which \(\frac{1}{4}\) inch equals 1 foot. If the length of one side of the house is 65 feet, how many inches will the length be on the blueprint?

Answer :

Answer:

The length on the blueprint for an actual length of 65 feet is [tex]16\frac{1}{4}\ inches[/tex]

Step-by-step explanation:

Given:

Scale of the blueprint is [tex]\frac{1}{4}\ in=1\ foot[/tex]

Length of one side of the house is 65 feet.

Now, as per given data;

1 foot in actual = [tex]\frac{1}{4}\ in[/tex] on the blueprint.

Therefore, using unitary method, we can find find the length on the blueprint for an actual length of 65 feet by multiplying 65 and [tex]\frac{1}{4}[/tex]. Therefore,

Length on the blueprint for 65 feet is given as:

[tex]=\frac{1}{4}\times 65\\\\=\frac{65}{4}\\\\=16\frac{1}{4}\ inches[/tex]

Therefore, the length on the blueprint for an actual length of 65 feet is [tex]16\frac{1}{4}\ inches[/tex]

Final answer:

By using the scale given, ½ inch equals 1 foot, the length of one side of the house on the blueprint is found to be 32.5 inches for an actual length of 65 feet.

Explanation:

To determine the length on the blueprint for a house side that is 65 feet in actual size, we need to use the given scale. The scale is ½ inch equals 1 foot. This means for every foot of actual distance, ½ inch is represented on the blueprint.

We can set up a proportion to find the length on the blueprint:

Scale: ½ inch = 1 foot

(65 feet) x (½ inch/foot) = 32.5 inches

Therefore, the length of the side of the house on the blueprint will be 32.5 inches.