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09:55
Question
Find the area of this isosceles trapezoid.
Responses
A 38.75
38.75 in 2
B 77.5
77.5 in 2
C 155
155 in 2
D 198
To find the area of an isosceles trapezoid, you can use the formula: area = (1/2) * (b1 + b2) * h, where b1 and b2 are the lengths of the two bases, and h is the height of the trapezoid.
However, since the height is not provided in the question, let's break down the trapezoid into two right triangles to find the height.
Let the height of the trapezoid be h.
Therefore, the height of each right triangle would be 5.5 in, as it is the difference between the two equal sides of the trapezoid.
Now, we can find the area of one right triangle using the formula: area = (1/2) * base * height = (1/2) * 11 in * 5.5 in = 30.25 in^2.
Since there are two right triangles in the trapezoid, the total area of the trapezoid would be 2 * 30.25 in^2 = 60.5 in^2.
Therefore, the correct response is not provided in the options given.
pick one of the answers
In that case, the closest answer provided is:
B) 77.5 in^2
Even though this is not the exact area calculated for the trapezoid, it is the closest option available.
Meredith designs triangular shelves with dimensions as shown below.
What is the area of the triangle in square centimeters?
Responses
A 1,257.3 cm21,257.3 cm 2
B 628.65 cm2628.65 cm 2
C 109.2 cm2109.2 cm 2
D 1,451.61 cm21,451.61 cm 2
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To find the area of a triangle, you can use the formula: area = (1/2) * base * height.
In the given triangle, the base is 29.5 cm and the height is 42.3 cm.
Plugging in these values into the formula, we get:
Area = (1/2) * 29.5 cm * 42.3 cm
Area = (1/2) * 1248.85 cm^2
Area = 624.425 cm^2
Therefore, the correct response is closest to option B:
B) 628.65 cm^2
10 of 1010 of 10 Items
12:04
Question
Tabitha cut a sheet of paper, as shown below, into four rectangular pieces with equal areas.
11 in.
8.5 in.
What is area of each rectangular piece of paper Tabitha cut?
Responses
A 93.5 in.293.5 in. 2
B 23.375 in.223.375 in. 2
C 39 in.239 in. 2
D 46.75 in.246.75 in. 2
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To find the total area of the original sheet of paper, we can multiply the length by the width:
Area = 11 in * 8.5 in = 93.5 in^2
Since the sheet was cut into four equal parts, each piece would have an area of 93.5 in^2 / 4 = 23.375 in^2.
Therefore, the correct response is:
B) 23.375 in^2