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.

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.

Step-by-step 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

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.