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o-na [289]
3 years ago
8

Please help and tell me which answer on the bottom is correct. I don't know how to do math..

Mathematics
2 answers:
Umnica [9.8K]3 years ago
6 0

Answer:

875 ft²

Step-by-step explanation:

Let's split the figure along the two dotted lines. Then, we're left with two rectangles and a trapezoid at the top.

The area of a rectangle is A = lw, where l is the length and w is the width.

For the bottom rectangle, the length is 15 ft and the width is 30 ft. So:

A = lw = 15 * 30 = 450 ft²

For the middle rectangle, the length is 10 ft and the width is still 30 ft, so:

A = lw = 10 * 30 = 300 ft²

The area of a trapezoid is denoted by A = (b1 + b2) * h/2, where b1 and b2 are the two bases and h is the height.

Here, the bigger base, b2, is still 30 ft. The smaller base, however, is actually 30 - 5 - 5 = 20 ft. The height is 5 ft. So, plug these in:

A = (b1 + b2) * h/2

A = (20 + 30) * 5/2 = 50 * 5/2 = 250/2 = 125 ft²

Finally, add all these disparate areas together:

450 + 300 + 125 = 875 ft²

Illusion [34]3 years ago
3 0

Answer:

875

Step-by-step explanation:

30*15=450

30*10=300

20*5=100

12.5+12.5=25

450+300+100+25=875

I worked from bottom to top

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