
First let

, so that

to write the integral as

Now recall that

, so substituting

should do the trick. The integral then becomes
Answer: 357 cm²
Step-by-step explanation: In this problem, were asked to find the area of the trapezoid shown. Remember that a trapezoid is a quadrilateral with one pair of parallel sides. The formula for the area of a trapezoid is shown below
The b's are the bases or the parallel sides and the h represents the height.
So in the trapezoid shown, the bases are 15 cm and 27 cm and the height is 17 cm.
Plugging this information into the formula, we have .
Next, the order of operations tells us that we must simplify inside the parentheses first. 15 cm + 27 cm is 42 cm and we have
1/2 × 42 cm is 21 cm and we have (21 cm)(17 cm) which is 357 cm².
So the area of the trapezoid shown is 357 cm².
<u>I believe I have to calculate the area of the shape. I'll do that.</u>
Answer:
<em>Total area = 23.04 square m</em>
Step-by-step explanation:
<u>Area of a compound shape</u>
The shape shown in the figure can be divided into two smaller rectangles. We need to find their dimensions.
The single tick in the 2 m side indicates the other side also measures 2 m. This means the width of one of the smaller rectangles is 5.2m - 2 m = 3.2 m
The double tick in the 5.2 m also indicates the length of that smaller rectangle is 5.2 m. Thus the two rectangles have their respective areas as:
A1 = 5.2 m * 3.2 m = 16.64 square m
A2 = 2 m * 3.2 m = 6.4 square m
The total area is:
At = 16.64 square m + 6.4 square m = 23.04 square m
Total area = 23.04 square m
Answer:
$68.48
Step-by-step explanation:
You want to find cost such that ...
6.25% × cost = $4.28
Dividing by the coefficient of cost, we get ...
cost = $4.28/0.0625 = $68.48