Two similar rectangles have a scale factor of 3:2. The perimeter of the small rectangle is 50 feet. What is the perimeter of the large rectangle measured in feet?

The perimeter of a rectangle is the sum of the dimension of the rectangle

The ratio of the side length is given as:

Represent the perimeters of both rectangles with

P1 and P2.

So, we have:

The smaller rectangle has a perimeter of 50 feet.

So, we have:

Express as fraction

Multiply both sides by 50

Hence, the perimeter of the larger rectangle is 75 feet

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The perimeter of the large rectangle measured 75 feet.

Step-by-step explanation:

For two similar rectangles,

The perimeter of the small rectangle is 50 feet.

Given ratio between two similar rectangles: 3:2

So,

Hence, the perimeter of the large rectangle measured 75 feet.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2