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

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl