Question

Question 4 options:

Answer 1

I. The value of x is equal to 8.

II. The dimensions of the rectangle are 13 and 5 inches respectively.

Given the following data:

• Area of a rectangle = 65 square inches.

• Length of rectangle = x + 5 inches

• Width of rectangle = x - 3 inches

To find the value of x, and the dimensions of the rectangle:

Mathematically, the area of a rectangle is given by the formula:

$A = LW$

Substituting the values, we have:

$65 = (x+5)(x-3)\\\\65=x^2-3x+5x-15\\\\65=x^2+2x-15-65\\\\x^2 +2x-80=0\\\\x^2 +10x-8x-80=0\\\\x(x+10)-8(x+10)=0\\\\(x-8)(x+10)=0$

x = 8 or x = -10

For the length:

when x = 8

$Length = 8 +5$

Length = 13 inches.

For the width:

when x = 8

$Length = 8 -3$

Length = 5 inches.

Find more information: brainly.com/question/11037225