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Chapter 10: Q15. (page 603)

The area of the rectangle is 90 square feet. Find x.

Short Answer

Expert verified

The values of x=鈭�9,鈥�10.

Step by step solution

01

Step 1. Define an equation.

In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equal sign "=".

02

Step 2. Write the standard form of a quadratic equation.

The standard form of a quadratic equation is given by

ax2+bx+c=0, wherea鈮�0

03

Step 3. Define the area of the rectangle.

Areaof鈥�therectangle=length脳width鈥�鈥�鈥�..1

04

Step 4. Find the value of x for the given rectangle.

Observe the figure.

The length of the rectangle=x鈭�1 feet

The width of the rectangle=x feet

The area of the rectangle =90square feet

Use equation (1).

role="math" localid="1647949732123" x鈭�1x=90x2鈭�x=90x2鈭�x鈭�90=0x2鈭�10x+9x鈭�90=0xx鈭�10+9x鈭�10=0x鈭�10x+9=0x=鈭�9,鈥�10

Therefore the values of x=鈭�9,鈥�10.

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