A sports team is building a new stadium on a rectangular lot of land. If the lot measures 6x by 10x and the sports field will be 1x by 4x, how much of the lot will be left over to build bleachers on?
area of lot = (6x)(10x) = 60x^2
area of field = x(4x) = 4x^2
area left for bleachers = 60x^2 - 4x^2 = 56x^2
To determine how much of the lot will be left over to build bleachers on, we need to find the area of the lot and the area of the sports field.
The area of a rectangle is found by multiplying its length by its width. In this case, the length of the lot is 6x and the width is 10x:
Area of the lot = (length of the lot) x (width of the lot)
= 6x * 10x
= 60x^2
Next, we need to calculate the area of the sports field. The length of the sports field is 1x and the width is 4x:
Area of the sports field = (length of the sports field) x (width of the sports field)
= 1x * 4x
= 4x^2
To find the area of the lot left over for the bleachers, we subtract the area of the sports field from the area of the lot:
Area left for bleachers = Area of the lot - Area of the sports field
= 60x^2 - 4x^2
= 56x^2
Therefore, the amount of the lot that will be left over to build bleachers on is 56x^2.
To find out how much of the lot will be left over to build bleachers on, we need to calculate the area of the sports field and subtract it from the total area of the lot.
1. Calculate the area of the lot:
Area of the lot = length × width
Area of the lot = 6x × 10x
Area of the lot = 60x²
2. Calculate the area of the sports field:
Area of the sports field = length × width
Area of the sports field = 1x × 4x
Area of the sports field = 4x²
3. Calculate the area left for the bleachers:
Area left for bleachers = Area of the lot - Area of the sports field
Area left for bleachers = 60x² - 4x²
Area left for bleachers = (60 - 4)x²
Area left for bleachers = 56x²
Therefore, the amount of the lot left over to build bleachers on is 56x².