Question

A rectangular pool has an area of 5x2 + 23x + 12 and the length of one side is 5x + 3. What is the

Answer 1

Answer:

x + 4

Step-by-step explanation:

Area of rectangle= length × breadth

In this question, one length is 5x + 3 and the area is 5x^2 + 23x + 12

This means that;

5x2 + 23x + 12 = 5x + 3 (b)

Hence, to get the other length (b) = 5x2 + 23x + 12/ 5x + 3

To get the other length, we can factorize the algebraic expression;

5x2 + 23x + 12

Product: 60x^2 (20x × 3x)

Sum: +23x (20x + 3x)

Hence;

= 5x^2 + 20x + 3x + 12

Next, we find factors;

5x (x+4) + 3 (x+4)

Therefore, the factors are (5x + 3) and (x +4)

This means that the other length is (x +4)