Question

The length of a wooden frame is 1 foot longer than its width and its area is equal to 12ft^2. Translate into mathematical sentence, then express into quadratic equation in terms of "x".

Answer 1

$\huge{\boxed{\rm{\red{X²+X-12=0}}}}$

Step-by-step explanation:

Given :-

The length of a wooden frame is 1 foot longer than its width and its area is equal to 12ft^2.

To find:-

Translate into mathematical sentence, then express into quadratic equation in terms of "x

Solution:-

Let width of the wooden frame be X ft.

Then length =width+1 ft.=(X+1) ft.

Area of the wooden frame=length×breadth

=>Area=(X+1)(X)=X²+X sq.ft.

According to the given problem,

Area of the wooden frame =12 sq.ft.

=>X²+X=12

=>X²+X-12=0

Answer:-

The required quadratic equation is X²+X-12=0