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tino4ka555 [31]
3 years ago
7

(05.01)A scale drawing of a living room is shown below. The scale is 1 : 40.

Mathematics
2 answers:
8_murik_8 [283]3 years ago
5 0

Answer:

266 2/3

Step-by-step explanation:

matrenka [14]3 years ago
4 0

Answer:

A=266\frac{2}{3}\ ft^2

Step-by-step explanation:

we know that

The scale is \frac{1}{40}

That means

1 unit in the drawing represent 40 units in the actual

or

1 inch in the drawing represent 40 inches in the actual

step 1

Find the actual dimensions of the living room

Multiply the dimensions of the living room in the drawing by 40

Length:\ 6(40)=240\ in

Width:\ 4(40)=160\ in

step 2

Convert inches to feet

Remember that

1\ ft=12\ in

To convert inches to feet , divide by 12

so

Length:\ 240\ in=240/12=20\ ft

Width:\ 160\ in=160/12=\frac{40}{3}\ ft

step 3

Find the area in square feet

Multiply the length by the width

A=(20)(\frac{40}{3})=\frac{800}{3}\ ft^2

Convert to mixed number

A=\frac{800}{3}\ ft^2=\frac{798}{3}+\frac{2}{3}=266\frac{2}{3}\ ft^2

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