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A scale drawing of a square object has a scale of 1 in. : 6 mm. The scale drawing has a length of 2.4 inches. Find the perimeter and the area of the object in the scale drawing. Then find the perimeter and area of the actual object.

User Beerweasle
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Answer:

A) Perimeter = 9.6 inches

Area = 5.76 inches ^2

B) Perimeter = 57.6 mm

Area = 207.37 mm^2

Explanation:

The perimeter and the area of the object in the scale drawing.

Perimeter = 2.4 x 4 = 9.6 inches

Area = 2.4 × 2.4 = 5.76 inches ^2

Then find the perimeter and area of the actual object.

If 1 inch = 6mm, and we have 2.4inches, then we need to multiply: 2.4 × 6 = 14.4

So each side of the square is 14.4 mm long

The perimeter of a square is 4 equal sides, so you will need to multiply 14.4 and 4

14.4×4 = 57.6mm

The area of a square is the length times its width. So that means to find the area, you will need to multiply 14.4 and 14.4 together.

14.4 × 14.4 = 207.36mm^2