Question

What is the area of the actual bathroom in square feet? Round your answer to the nearest whole number.

3.5 length of rectangle, 2 inchs of width rectangle

7 ft2
19 ft2
12 ft2
140 ft2

Answer 1

`A=19\ ft^2`

Explanation:

The complete question is

The length of the rectangle is labeled 2 inches. The width of the rectangle is labeled 3.5 inches. The scale is 1 to 20. What is the area of the actual bathroom in square feet? Round your answer to the nearest whole number

see the attached figure to better understand the problem

we know that

The scale is 1:20

That means

1 unit in the drawing represent 20 units in the actual

or

1 inch in the drawing represent 20 inches in the actual

Step 1

Find the actual dimensions of the bathroom

To find the actual dimensions multiply the dimensions in the drawing by 20

so

Actual length

`2(20)=40\ in`

Actual width

`3.5(20)=70\ in`

Step 2

Convert inches to feet

Remember that

`1\ ft=12\ in`

To convert in to ft divide by 12

so

Actual length

`40\ in=(40)/(12)\ ft`

Actual width

`70\ in=(70)/(12)\ ft`

Step 3

Find the area of the actual bathroom in square feet

Multiply the length by the width

`A=((40)/(12))((70)/(12))=(2,800)/(144)=19\ ft^2`