Question

What is the actual area of the kitchen? (In sq ft)

Answer 1

`A=252(ft^(2) ).`

Explanation:

1. Identify the shape and choose a formula.

As you can see on the image, the kitchen forms the shape of a rectangle, therefore, to find the area of its area is:

`A=WL`; where "W" is the width if the rectangle and "L" is the length.

2. Identify the width and length of the kitchen.

Check the attached image.

W=
`1 (3)/(4)(in)`

L=
`2(1)/(4)(in)`

3. Convert each measure using the conversion factor given at the bottom of the image.

For W:

`1 (3)/(4)(in)*(2(ft))/((1)/(4) (in)) =\\ \\1 +(3)/(4)(in)*(2(ft))/((1)/(4) (in))=\\ \\1+0.75(in)*(2(ft))/(0.25(in)) =\\ \\1.75(in)*(2(ft))/(0.25(in)) =\\ \\14ft`

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For L:

`2(1)/(4)(in)*(2(ft))/((1)/(4) (in)) =\\ \\2+0.25(in)*(2(ft))/(0.25(in)) =\\ \\2.25(in)*(2(ft))/(0.25(in)) \\ \\18ft`

4. Calculate the area.

`A=14(ft)*18(ft)=252(ft^(2) )`

Answer 2

Answer: 252 ft²

Explanation:

Based on the picture, the scale drawing of the kitchen is 1.75 in by 2.25 in.

We will convert these measurements using the scale,
`(1)/(4)` in = 2 ft. We will use dimensional analysis.

1.75 in ➜
`(1.75\;in)((2\;ft)/(0.25\;in))=14\;ft`

2.25 in ➜
`(2.25\;in)((2\;ft)/(0.25\;in))=18\;ft`

Lastly, we will solve for the area using the formula below.

A = LW

A = (14 ft)(18 ft)

A = 252 ft²