Answer:
Please see below.
Step-by-step explanation:
I will be using * to express multiplication, and ^ to express squares.
A) Can you find the area of the shape?
Yes, we can.
We can simply multiply 5x - 3 by 2x, as seen below.
(2x)(5x - 3)
2x * 5x = 10x^2
2x * -3 = -6x
Area = 10x^2 - 6x
B) Can you find the perimeter of the shape?
Yes.
Because a rectangle has two sets of equal sides, we can merely multiply the two given measurements by two and add them together to find the perimeter.
2x * 2 = 4x
2(5x - 3) = 10x - 6
4x + 10x - 6 = 14x - 6
Perimeter = 14x - 6
C) If x = 2, what is the area of the shape?
We can just plug in 2 wherever our x shows up.
5x - 3 = 5 * 2 - 3 = 10 - 3 = 7
2x = 2 * 2 = 4
7 x 4 = 28
We can also use our previous formula from A.
10x^2 - 6x
10 * 2^2 - 6 * 2
10 * 4 - 12
40 - 12
28
Our area if 28 if x = 2
Please let me know if any of these are incorrect.
