Top of the rectangle is 2x+5 right hand side is 5. Write an expression for the area of the rectangle. Then find the area of the rectangle in square feet if x=3. Then I need to find the value of x if the area of the rectangle is 1y0 square ft. Help!!
160 square ft. Not y
area = width * height = (2x+5)(5) = 10x+25
then solve for x if 10x+25 = 160
To find the area of a rectangle, you need to multiply its length by its width. In this case, the length of the rectangle can be represented by the expression 2x + 5, and the width is given as 5. So, the expression for the area of the rectangle would be:
Area = (2x + 5) * 5
To find the area of the rectangle in square feet when x = 3, you'll substitute the value of x into the expression and solve:
Area = (2 * 3 + 5) * 5
= (6 + 5) * 5
= 11 * 5
= 55 square feet
Now, to find the value of x when the area of the rectangle is 10 square feet (1y0 square feet), we'll set up an equation:
10 = (2x + 5) * 5
First, distribute the 5 to both terms inside the parentheses:
10 = 10x + 25
Next, subtract 25 from both sides of the equation:
10 - 25 = 10x
-15 = 10x
Finally, divide both sides of the equation by 10:
-15 / 10 = x
-1.5 = x
So, when the area of the rectangle is 10 square feet, the value of x is -1.5.