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Anettt [7]
2 years ago
8

A scale drawing of a square has a side length of 9 inches. The drawing has a scale of 1 in. : 5 mi. Find the actual perimeter an

d area of the square.
Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
6 0

Answer:

Area = 2025 miles²

Perimeter = 180 miles

Step-by-step explanation:

Given the following :

Scale of drawing = 1 inch : 5 miles

Length of side of the scale drawing = 9 inches

To find The actual perimeter and area of the square, we need ;

Actual length of the drawing :

1 inch = 5 miles

9 inches = (5 × 9) miles = 45 miles

Hence,

Area of a square = a²

Where a = side length

Actual side length = 45 miles

Actual area of square = 45² = 2025 miles²

Actual Perimeter of square :

Perimeter of a square = 4a

a = side length

Actual perimeter = 4(45) = 180 miles

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