The length of a table is 11 inches more than its width. If the area of the table is 1230 square inches, what is its length?

Question

help please i need it

Answer 1

Hi Monisha, if we let x represent the width of the table, then the length will be x + 11. To solve for x, we can use the formula for the area of a rectangle:

 

A = L * W

 

Substitute:

 

A = 1230 square inches

L = x + 11 inches

W = x inches

 

(x + 11) * x = 1230

 

x² + 11x = 1230

 

Subtract 1230 from both sides:

 

x² + 11x - 1230 = 0

 

Use the quadratic formula to solve for x:

 

a = 1

b = 11

c = -1230

 

x = (-11 ± √(11² - (4 * 1 * -1230))) / (2 * 1)

 

x = (-11 ±√5041) / 2

 

x = (-11 ± 71) / 2

 

Two solutions:

 

Solution 1:

 

x = (-11 - 71) / 2 

 

x = -82 / 2

 

x = -41

 

We can discard this solution since the width of the table cannot be negative.

 

Solution 2:

 

x = (-11 + 71) / 2

 

x = 60 / 2

 

x = 30

 

The width of the table is 30 inches.

 

Length of table:

 

The length of the table is x + 11 inches, or 30 + 11 = 41 inches.

 

Check:

 

1230 = 30 * 41

 

1230 = 1230, values check.

 

Questions?