The area of a rectangle is found by multiplying the length and the width. The length is represented by x+8 and the width is represented by X+6. The total area is 288 in2. Solve for x in order to find the length and width of the rectangle.
State the length and width of the rectangle. Show all of your work and use complete sentences in your answer.

Step-by-step explanation:

Area formula

Given

As per formula

Solving for x

Sides of rectangle are

GiveN:

What to find?

Step-wise-Step Explanation:

Area of the rectangle can be calculated by Length × Breadth. We have their values, Simply plug in the formula.

⇒ Length × Breadth = 288 in²

⇒ (x + 8)(x + 6) = 288

⇒ x² + 14x + 48 - 288 = 0

⇒ x² + 14x - 240 = 0

Finding the zeroes by using middle term factorisation,

⇒ x² + 24x - 10x - 240 = 0

⇒ x(x + 24) - 10(x + 24) = 0

⇒ (x - 10)(x + 24) = 0

Then x = 10 or -24. Since the sides cannot be negative, the value of x will be 10 inches (Answer)

Sides of the rectangle:

3.76%

step-by-step explanation:

1 and 2

step-by-step explanation: