1.Each side of a square has a length of 5x. Use your area expression to find the area of the square when x = 2.2 centimeters. Show your work.2. A rectangle has a length of 6 and a width of y + 4. Use the distributive property to write an expression to represent the area of the rectangle. 3.A rectangle has a length of 6 and a width of y + 4. Use your area expression to find the area of the rectangle when y = 3 1/2 inches. Show your work.4. The area of a rectangle is 8w + 18 square feet. The length of the rectangle is 2 feet. Use factoring to write an expression to represent the width of the rectangle.
Accepted Solution
A:
1. The area is l * w, so just multiply 5x by 5x. Replacing x with 2.2 gets: (5 * 2.2) * (5 * 2.2)
11 * 11 = 121
So, the area of the square when x = 2.2 centimeters is 121 sq cm.
2. The expression for this equation would be: 6(y + 4)
And using the distributive property on this to get the simplified expression, just multiply both y and 4 by 6.
6 * y + 6 * 4 6y + 24 So, your expression is 6y + 24.
3. For this one, let's make y's value 3.5 instead of 3 1/2 to make it easier to solve.
We just use the above expression to solve. 6 * 3.5 + 6 * 4 21 + 24 = 45
So, the area of the rectangle when y = 3 1/2 is 45 sq in.
4. For this last one, let's use the formula w = A/l to form an expression that will represent the width.
w = 8w + 18/2
Now, let's simplify it by dividing 8w and 18 by 2. w = 8w/2 + 18/2
w = 4w + 9
So the expression to represent the width of the rectangle is 4w + 9. Hope this helped!