Question

A scale drawing of a house Joseph closet with floor dimensions of 4.4 cm x 3.2 cm. The scale from the drawing to the actual closet is 2 cm for every 1 cm. What is the actual area of the closet floor?

a) 30.08 square cm
b) 35.84 square cm
c) 70.4 square cm
d) 44 square cm

Answer 1

To find the actual area of the closet floor, multiply the dimensions of the scale drawing by the scale factor to find the actual dimensions. Then, multiply the actual dimensions to find the actual area of the floor.

Step-by-step explanation:

To find the actual area of the closet floor, we need to first determine the dimensions of the actual floor. The scale from the drawing to the actual closet is 2 cm for every 1 cm. So, we can multiply the dimensions of the scale drawing by the scale factor to find the actual dimensions.

1. Dimensions of the actual floor: 4.4 cm x 2 cm = 8.8 cm x 6.4 cm
2. To find the actual area of the floor, we multiply the actual dimensions: 8.8 cm x 6.4 cm = 56.32 square cm

Therefore, the actual area of the closet floor is 56.32 square cm.