3. The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 5 inches more than 2 times t

Question

Oduvanchick [21]

3 years ago

12

3. The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 5 inches more than 2 times t

he perimeter. Find the length and width of the rectangle.

Mathematics

1 answer:

Oksana_A [137] · Answer 1 · 2022-10-22T09:11:04+03:00

Oksana_A [137]3 years ago

3 0

Answer:
Length: sqrt13 + 4
Width: sqrt13
Step-by-step explanation:
Denote the width as x, then the length is x+4. The area of the rectangle will be x(x+4), and the perimeter will then be 4x +8. Hence, you can write the equation x(x+4) - 5 = 4x+8. Solving, you get x = sqrt13.