Verified answer

Answer:

5. 125 sq. ft

6. 36.86 sq. ft

7. 803.28 sq. ft.

Step-by-step explanation:

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5. Finding the area of the roof

First, let's find the area of the rectangle using the formula :W x L

L=20 ft

W= 5ft

So, using the given numbers to replace the variables, we have 20 ft x 5ft = 100 sq. ft

Second, we have the right triangles using the area formula of h x b / 2

H=5ft

B=5ft

If you are asking where I got the base since in the image all that's given is the height. But if you look closely, it's just the same with the height ;)

So, using the given numbers to replace the variables, we have 5 x 5 divided by 2. =25/2 = 12.5 sq. ft

Now, since we have two triangles, we'll just add them and get 25 ft, right? Now adding the total area of the roof, we get 125 sq. ft.

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6. Finding the area of the unshaded part of the door

First, let's find the overall area of the door using the formula L x W.

L= 10 ft

W=4 ft

Now, using the given, let's replace the variables and we get 10 x 4 = 40 sq. ft. The next step will be finding the area of the shaded part or in other words, finding the area of the circle using the formula pi x r x r (πr2)

The given are:

D=2 ft

π=3.14

But get this, we are suppose to be looking for the radius, not the diameter. What do we do? Well, as we all know, the radius if half the length of the diameter this we get, 2/2 = 1

So,

R=1

Now, following the formula, 3.14 x 1 x 1.

1x1 = 1

So, 3.14 x 1 = 3.14

Now, let's find the area of the unshaded part. How? Just like what we ddi in #5, we subtract.

40 - 3.14 = 36.86. Thus, the area of the shaded part is 36.86 sq. ft.

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7. Finding the total area of the shaded part of the house.

This can be challanging depending on what level in math you are in now. However, how to solve it still hasn't changed. Based on the info we got in number 5 which is 125 ft.

Then, we'll get the total area of the house without the roof using the formula L x W

L=30

W=24

So, we get 24 x 30 = 720.

And now using the info we got in number 6, the door's overall area without the shaded part is 36.86 ft.

The windows are easy. First of all, a area formula of a square is S to the power of two.

Seeing as the variable S is equal to 2, we get 2 to the power of 2 equal to 4.

So, 720 - 8 (4+4) = 712.

And the door's unshaded part, 712 - 36.86 = 675.14

Now compiling our information.

The house's overall shaded part is

Roof = 125

Circle = 3.14

Body = 675.14

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Thus, the house's overall shaded part is 803.28 sq. ft.

Hope you understood my explination ^^. This was honestly very fun to work with.

Answer:

5. 123.sq. ft

6. 36.86 sq. ft

7. 803.28 sq. ft