Mathematics: Given a square with side lengths represented by the function f(x)=2x+5, find the square. a. 2x^2+10x+25 b. 4x^2+20x+25 c. 4x^2+20x+10 d. 2x^2+5x+10

yup!!!Step-by-step explanation:...

Given a square with side lengths represented by

jalenshayewilliams

07.01.2022

B. 4x^2+20x+25

Step-by-step explanation:

The length of the side:

2x+5

In a square all sides have the same length.

And the area of a square is given by the formula:

Area=(length)^2

so, substituting that the length is 2x+5

Area=(2x+5)^2

and we solve this squared binomial with the formula:

(a+b)^2=a^2+2ab+b^2

in this case a=2x and b=5

thus, we get:

Area= (2x)^2+2(2x)(5)+(5)^2

and solving:

Area=4x^2+20x+25

which is option B.

0,0(0 оценок)