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katen-ka-za [31]
3 years ago
10

What is there area to this?​

Mathematics
1 answer:
borishaifa [10]3 years ago
8 0

Answer:

The total area of the figure is 52 in²

Step-by-step explanation:

This figure requires you to find the area of the square and the triangle separately, and then subtract the area of the triangle from the area of the square.

Find the area of the square

l=8in

A=l²

A=8²

A=64 in²

The area of the square is 64 in²

Find the area of the triangle

b=8in

h=3in

A=(bh)/2

A=(8*3)/2

A=24/2

A=12 in²

The area of the triangle is 64 in²

Now we need to subtract the areas

64-12=52 in²

The total area of the figure is 52 in²

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Answer:

The number of students chose jogging is <u>144</u>, chose swimming is <u>72</u>, chose yoga is<u> 144</u> and chose biking is <u>288</u>.

Step-by-step explanation:

Given:

At westwood Middle School, 648 students responded to a survey asking about their favorite type of exercise.

Twice as many students chose jogging as swimming.

The same number of students chose yoga as jogging.

Twice as many students chose biking as jogging.

Now, to find the number of students chose each type of exercise.

<em>Let the students chose jogging be </em>w.<em />

<em>The student chose swimming be </em>x.<em />

<em>The student chose yoga be </em>y.<em />

<em>And the student chose biking be</em> z.

As per given in question:

Twice as many students chose jogging as swimming.

w=2x\\\frac{w}{2} =x\\.........(1)

The same number of students chose yoga as jogging.

y=w .........(2)

Twice as many students chose biking as jogging.

z=2w.  .........(3)

Total students surveyed = 648.

According to question:

w+x+y+z=648.

Putting the value from above equations (1), (2) and (3) we :

w+\frac{w}{2} +w+2w=648

4w+\frac{w}{2}=648

\frac{8w+w}{2} =648

\frac{9w}{2}=648

<em>Multiplying both sides by 2 we get:</em>

9w=1296

<em>Dividing both sides by 9 we get:</em>

w=144.

<u><em>The students chose jogging = 144.</em></u>

<em><u>The student chose swimming:</u></em>

x=\frac{w}{2} \\x=\frac{144}{2} \\x=72

<u><em>The students chose yoga:</em></u>

y=w\\y=144.

<u><em>The student chose biking :</em></u>

z=2w\\z=2\times 144\\z=288

Therefore, the number of students chose jogging is 144, chose swimming is 72, chose yoga is 144 and chose biking is 288.

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