I don't understand how to awnser this question...
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The vertical left edge of a trapezoid is 8 inches and meets the bottom edge of the trapezoid at a right angle. The bottom edge is 4 inches and meets the vertical right edge at a right angle. The right edge is 11 inches. The top slanted edge measures 5 in
Calculate the area of the trapezoid, which is not drawn to scale.
Wat I think:
A=1/2h (5+4)
A=1/2 * 11 * 8 (5 + 4)
A=44*9
A=396in
The area is in inches squared...
Without a diagram... your wording does not provide me with the solution you have...
the bottom edge is the "height" of 4, since it has two right angles.
So, the area is (8+11)/2 * 4 = 38 in^2
Lay the picture on its side, with the 11" base on the bottom, to get the more usual orientation.
To solve this problem, let's start by understanding the formula for the area of a trapezoid. The formula is:
A = 1/2 * (b1 + b2) * h
where A is the area, b1 and b2 are the lengths of the two parallel sides (in this case, the bottom and top slanted edges), and h is the height (the distance between the two parallel sides).
In this case, we are given the lengths of the bottom edge (4 inches), the right edge (11 inches), and the top slanted edge (5 inches). However, we still need to find the height of the trapezoid.
To find the height, we can use the fact that the vertical left edge of the trapezoid is 8 inches and meets the bottom edge at a right angle. This means that the bottom edge is the base of a right-angled triangle, with the vertical left edge as one of the legs. Using the Pythagorean theorem, we can find the height of the trapezoid.
Using the Pythagorean theorem:
h = sqrt(8^2 - 4^2)
h = sqrt(64 - 16)
h = sqrt(48)
h ≈ 6.93 inches (rounded to two decimal places)
Now that we know the value of the height, we can plug it into the area formula:
A = 1/2 * (5 + 4) * 6.93
A = 1/2 * 9 * 6.93
A = 4.5 * 6.93
A ≈ 31.19 square inches (rounded to two decimal places)
Therefore, the area of the trapezoid is approximately 31.19 square inches.