An architect drew the blueprint for a new office building. He used a scale in which 1 inch represents 7.5 feet. The floor of an office in the building will have actual dimensions of 20 feet by 17 feet. What will be the dimensions on the blueprint?
A.
27.5 inches by 24.5 inches
B.
150 inches by 127.5 inches
C.
2.67 inches by 2.27 inches
D.
12.5 inches by 9.5 inches
Reset

C.

2.67 inches by 2.27 inches

Step-by-step explanation:

We can use ratios to solve

1 in        x inches

=

7.5 ft       20 ft

Using cross products

1*20 = 7.5x

Divide each side by 7.5

20/7.5 =7.5x/7.5

2.67 =x

We can do the same for the other dimension

1 in        x inches

=

7.5 ft       17 ft

Using cross products

1*17 = 7.5x

Divide each side by 7.5

17/7.5 =7.5x/7.5

2.27 =x

2.67 inches by 2.27 inches

C

Step-by-step explanation:

20/7.5 = 2.67

17/7.5 = 2.27

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

me! what did you put for this question?

step-by-step explanation: