Question

a rectangle has an area of 16ft squared, every dimension is multiplied by a scale factor, and the new rectangle has an areaof 64 ft squared, what was the scale factor? ...?

Answer 1

The scale factor is
=2(8)(2)
= 16(8 (2))(2 (2))
=64

Answer 2

Scale factor is 2

Explanation:

A rectangle has an area of 16ft²

That is

Length₁ x Breadth₁ = 16 ft²

Every dimension is multiplied by a scale factor, let the scale factor be s.

New dimensions are

Length₂ = s x Length₁

Breadth₂ = s x Breadth₁

New area is given by

Area = Length₂ x Breadth₂ = s x Length₁ x s x Breadth₁

Area = s² x Length₁ x Breadth₁

64 = s² x 16

s² = 4

s = 2

So scale factor is 2