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This scale drawing of a rectangular wall has dimensions 4.75 inches by 2.5 inches. The length of the shorter side of the actual wall is 36 inches.




Enter the area of the actual wall.
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Respuesta :

zoeisabella1

Answer:

2462.4 square inches

Step-by-step explanation:

To find the length of the longer wall use the following ratio and solve for x.

x/36= 4.75/ 2.5

x= 68.4

Area of a rectangle = l(w)

68.4(36)= 2462.4 square inches

MrRoyal

The area of the wall is the product of its dimension.

The area of the actual wall is  2462.4 square inches

The scale is given as:

[tex]\mathbf{Scale = 4.75 : 2.5}[/tex]

The shorter side of the actual wall is 36 inches.

So, we have:

[tex]\mathbf{Long : 36= 4.75 : 2.5}[/tex]

Express as fractions:

[tex]\mathbf{\frac{Long }{36}= \frac{4.75 }{ 2.5}}[/tex]

Multiply both sides by 36

[tex]\mathbf{Long= 36 \times \frac{4.75 }{ 2.5}}[/tex]

[tex]\mathbf{Long= 68.4}[/tex]

So, we have:

[tex]\mathbf{Long= 68.4}[/tex]

[tex]\mathbf{Short= 36}[/tex]

The area is then calculated as:

[tex]\mathbf{Area = 68.4 \times 36}[/tex]

[tex]\mathbf{Area = 2462.4in^2}[/tex]

Hence, the area of the actual wall is  2462.4 square inches

Read more about areas at:

https://brainly.com/question/2602591

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