Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. The per

Question

3 years ago

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Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. The per

imeter of the rectangle is 2(5x – 2) + 2(3x + 1). If x = 4 centimeters, what is the total distance Zohar needs to cut with the scissors?

Mathematics

1 answer:

Softa [21] · Answer 1 · 2022-06-27T19:19:36+03:00

Answer:

62 cm

Step-by-step explanation:

Given the expressions for width (3x + 1) and length (5x - 2) as well as the formula for the perimeter of a rectangle: 2(5x - 2) + 2(3x +10), we can first solve for the simplified expression of 'x' and then substitute the given value of x = 4cm to find the total distance:

Distribute: 2(5x - 2) + 2(3x +1) = 10x - 4 + 6x + 2

Combine like terms: 16x - 2

Plug in '4' for 'x': 16(4) - 2 = 64 -2 = 62 cm