Sorry i made a typo it suppost to read 20m for one base not 12.
Directions:
Crafts. Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 12m, and the area is 224m ^2, find the length of the other base.
Area= 1/2 (12 + L)*16
solve for L.
To find the length of the other base, we can rearrange the formula for the area of a trapezoid and solve for the missing variable.
The formula for the area of a trapezoid is:
Area = (1/2) * (sum of bases) * height
In this case, we know the height is 16m, one base is 12m, and the area is 224m^2. We need to find the length of the other base, which we will call L.
So, the formula becomes:
224 = (1/2) * (12 + L) * 16
To solve for L, we can start by multiplying both sides of the equation by 2 to get rid of the 1/2:
2 * 224 = (12 + L) * 16
448 = (12 + L) * 16
Next, we can divide both sides of the equation by 16:
448 / 16 = (12 + L)
28 = 12 + L
To isolate L, we can subtract 12 from both sides:
28 - 12 = L
16 = L
Therefore, the length of the other base is 16m.