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MakcuM [25]
3 years ago
15

The drawing plan for an art studio shows a rectangle that is 13.2 inches by 6 inches. The scale in the plan is 3 in 5 ft. Find t

he length and width of the actual studio. Then find the area of the actual studio
Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0

Answer:

Actual length = 22 feet

Actual width = 10 feet

Actual area = 220 sq. feet.

Step-by-step explanation:

The scale in the drawing plan is 3 inches : 5 feet.

So, it interprets that the original length of 5 feet is drawn in the drawing plan of 3 inches length.

Therefore, 13.2 inches length of the drawing is equivalent to \frac{5}{3}\times 13.2 = 22 feet in the original length. (Answer)

And, the 6 inches width of the drawing is equivalent to \frac{5}{3} \times 6 = 10 feet in the original width. (Answer)

Now, the area of the actual studio will be (22 × 10) = 220 sq. feet. (Answer)

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The kite area can be calculated using the formula
a = 1/2 × d₁ × d₂
with d₁ as first diagonal and d₂ as second diagonal

From the question, we know that
d₁ = 9.5 + 9.5
d₁ = 19 in

d₂ = 7 + 12
d₂ = 19 in

Calculate the area by plugging in the numbers into the formula
a = 1/2 × d₁ × d₂
a = 1/2 × 19 × 19
a = 1/2 × 361
a = 180.5

The area of the kite is 180.5 in²
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