Harry planned a rectangular garden that was 40 feet long and 10 feet wide.
A. What was the perimeter, in feet, of the garden that Harry planned?
B. What was the area in square feet, of the garden that Harry planned?
C. Suppose Harry decided to change the shape of his garden to a square with the same area as the rectangle. What would be the perimeter in feet of the square garden?
A. 100 feet?
B. 400 feet?
C. I do not know
I am right or wrong and tell and explain to me why. Please :)
A and B are correct.
C
√400 = 20
4 * 20 = 80 feet perimeter
It's 1.8000
100
A. To find the perimeter of a rectangle, we add the lengths of all four sides. In this case, the length is 40 feet and the width is 10 feet. Therefore, the perimeter of the garden Harry planned would be 2 times the length plus 2 times the width: 2(40) + 2(10) = 80 + 20 = 100 feet. So you are correct!
B. To find the area of a rectangle, we multiply the length by the width. In this case, the length is 40 feet and the width is 10 feet. Therefore, the area of the garden Harry planned would be 40 * 10 = 400 square feet. So you are correct again!
C. To find the perimeter of a square, we add the lengths of all four sides. However, in this case, we need to determine the side length of the square with the same area as the rectangle. We know the area of the rectangle is 400 square feet. For a square, the side length is found by taking the square root of the area. Therefore, the side length of the square would be √400 = 20 feet. Since a square has all four sides equal, the perimeter of the square garden would be 4 times the side length: 4(20) = 80 feet. So the correct answer is 80 feet.
In conclusion, you were correct for parts A and B, but incorrect for part C. The correct answer for part C is that the perimeter of the square garden would be 80 feet.