Respuesta :
Answer:
D 550 ft²
Step-by-step explanation:
5.5 x 5 = 27.5
4 x 5 = 20
A = LW
27.5 x 20 = 550
Scaling is the process in which the dimension of an object is multiplied or increased by the same ratio. The actual area of the rectangular patio is 550 feet².
What is scaling?
Scaling is the process in which the dimension of an object is multiplied or increased by the same ratio.
As it is given that the ratio by which the patio is scaled is 1 inch = 5 feet. Therefore, a single inch on the drawing is 5 feet in the real world.
Now, the dimensions of the patio on the scale drawing are 5.5 inches by inches, therefore, each of the dimensions will be scaled.
[tex]\text{Length of the Patio}= 5.5\rm \times 5 = 27.5\ feet[/tex]
[tex]\text{Width of the Patio} = 4 \times 5 = 20\rm\ feet[/tex]
Further, the area of the rectangle is the product of its length and its breadth, therefore, the area of the rectangular patio is
[tex]\text{Area of the Patio} = Length \times Breadth\\[/tex]
[tex]= 27.5 \times 20\\\\= 550\rm\ feet^2[/tex]
Hence, the actual area of the rectangular patio is 550 feet².
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