Question

The length of a table is 5 cm more than its width. Its area is 126 cm2. Find its dimensions.

A. 4 cm by 9 cm
B. 9 cm by 14 cm
C. 14 cm by 19 cm
D. 19 cm by 24 cm

Answer 1

Let the length be x + 5 centimetres, and the width be x centimetres.

\( \color{Black}{\Rightarrow x( x + 5) = 126}\)

\( \color{Black}{\Rightarrow x^2 + 5x = 126 }\)

\( \color{Black}{\Rightarrow x^2 + 5x - 126 = 0}\)

Answer 2

Solve this quadratic equation.

Answer 3

And also I know you should show how you solved the problem, but if you multiply each of the possible answers, Answer C is the only answer that will result in an area of 126\[cm ^{2}\]