Question

A rectangular garden is 42ft wide and 72 ft long.A blueprint is created using a scale of 1in:6ft.Find the length and width of the blueprints and do not include units in yours answers.A. Identify the length on the blueprint.B. Identify the width on the blueprint.

Answer 1

EXPLANATION

As we already know, scale factor is the number by wich all the components of an object are multiplied in order to create a proportional enlargement or reduction.

First, we need to turn 6ft into inches units in order to have same magnitudes.

1 ft = 12 inches

So, the relationship is now 1in: 12 in

Scale factor = blueprint size / garden size

Isolating the blueprint size:

BluePrint size = Scale Factor * Garden Size

So, replacing terms:

----> The width will be 42* 1/12 = 3.5

----> The length will be 72 * 1/12 = 6

Answers:

A. The length of the blueprint is 6

B. The width of the blueprint is 3.5