Question

A RECTANGLE HAS SIDES OF "20 - x" AND "x - 5", IF THE RECTANGLES AREA IS 36 SQ. INCHES. FIND THE LARGEST SIDE.

Answer 1

12 in.

Explanation:

1. area can be calculated as A=s1*s2, where s1 and s2 are the largest and shortest sides.

2. according to the formula before A=(20-x)(x-5). But according to the condition A=36, then (20-x)(x-5)=36;

3. if to solve this quadratic equation, then

-x²+25x-136=0;

`\left[\begin{array}{ccc}x=17\\x=8\end{array}`

4. if x=3;12, then the sides are 12 and 3 and

5. finally, the largest side s1=12 inches.