Question

An architect is creating a scale drawing of a school computer lab. The length of the lab is 32 feet and the width of the lab is 48 feet. If each 16 feet of the lab equals 2 centimeters on a scale drawing, which of the following drawings is the scale drawing of the computer lab?

A rectangle is shown. The length of the rectangle is labeled as length equal to 2 cm and the width is labeled as width equal to 3 cm.
A rectangle is shown. The length of the rectangle is labeled as length equal to 4 cm and the width is labeled as width equal to 6 cm.
A rectangle is shown. The length of the rectangle is labeled as length equal to 16 cm and the width is labeled as width equal to 32 cm.
A rectangle is shown. The length of the rectangle is labeled as length equal to 24 cm and the width is labeled as width equal to 40 cm.

Answer 1

A rectangle is shown. The length of the rectangle is labeled as length equal to 4 cm and the width is labeled as width equal to 6 cm.

Explanation:

A scale drawing represents the actual drawing although on a piece of paper. So scale drawing is very important.

The scale in this case that is used to draw the a school computer lab i:

2 cm represent 16 feet

Simplified it will be

1 cm represent 8 feet

What will 32 feet and 48 feet be in cm.

1 cm rep 8 feet

∴ 32/8 = 4 cm

48/8 = 6 cm

Width = 6 cm

Length = 4 cm

Answer 2

A rectangle is shown. The length of the rectangle is labeled as length equal to 4 cm and the width is labeled as width equal to 6 cm.

Explanation:

We know the length of the lab is 32 feet.

We know the width of the lab is 48 feet.

We know the scale used represents 16 feet of the real lab by 2 cm on the drawing.

Both 32 and 48 are multiple of 16 (he's a wise architect!)

How many times 16 in 32? It goes twice... so you'll 2 cm twice = 4 cm

How many times 16 in 48? It goes 3 times... so you'll 2 cm 3 times = 6 cm