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stira [4]
2 years ago
8

What is the area of the composite figure

Mathematics
1 answer:
kati45 [8]2 years ago
8 0

To solve this we will divide the given composite figure into three figures. The three figures will be 2 squares and 1 rectangle. Let's find their areas and add them!

\boxed{ \sf \: area \: of \: square =side ^{2}  }

  • Side 3 metre

\rm \implies \: area = 3 ^{2}

\rm \implies9

<em>Thus, The area of 1st square is 9m²...</em>

  • The area of second square will be also 9m², because the sides of both squares are equal.

<h3>Now area of the reactangle⤵️</h3>

  • Length = 6m
  • Breadth = 7+3=10m

\sf \: area \: of \: rectangle = length \times breadtg

\tt \dashrightarrow \: area = 10 \times 3

\tt \dashrightarrow \: area = 30m ^{2}

<em>Thus, The area of rectangle is 30m²....</em>

  • Now, Add area of all the figures to get the total area.

\bf \:total \: area = 9 + 9 + 30 \\   \bf= 48m {}^{2}

<h3><em>Therefore, The total area of the composite figure is 48m²...~</em></h3>
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Wich expression is equivalent to 36a- 54b
Crazy boy [7]

Answer:

Top answer · 16 votes

A. 9(4a-3)Distribute to each term inside parentheses.  

Step-by-step explanation:

5 0
3 years ago
A plane flies at a steady rate of 40 mph while a second plane flies at a steady rate of 100 mph. The planes are 200 miles apart
malfutka [58]

Answer:

The time the two planes will meet is 1.43 hours

Step-by-step explanation:

Given;

speed of the first plane in positive direction, = 40 mph

speed of the second plane in negative direction(opposite direction) = -100 mph

distance between the two planes = 200 miles

Let the time the two planes will meet = t

the position of the first plane at this time "t" = 40t

the position of the second plane at this time "t" = -100t

(40t)>--------------------------------<(-100t), this space between them is 200 miles.

Thus, the difference in the distance they traveled before meeting should be equal to 200 miles.

40t - (-100t) = 200

40t + 100t = 200

140t = 200

t = 200 / 140

t = 1.43 hours

Therefore, the time the two planes will meet is 1.43 hours

6 0
3 years ago
The homecoming dance is going to be held in the school gym which is 300 ft by 300 ft. The fire marshal requires 4
Monica [59]

Find the area of the gym and divide that by the required space.

Area of gym: 300 x 300 = 90,000 square feet.

Number of people: 90,000 / 4 =  22,500

They can sell 22,500 tickets.

7 0
3 years ago
Mrs. Barto has a pet rabbit and wants to build a pen for it. She has 3 pieces of lumber: one is 3 ft, one is 7 ft, and the other
sammy [17]

Answer:

Yes, it is possible

Step-by-step explanation:

In a triangle, the length of the longest side of the triangle cannot be larger than the sum of the lenghts of the two shortest sides.

In formula, this means that:

c\leq a+b

where

c is the length of the longest side

a, b are the lengths of the shortest side

In this problem, we want to build a triangle using 3 pieces of lumber, each of length:

a = 3 ft

b = 7 ft

c = 8 ft

We can verify that the length of the longest piece of lumber is less than the sum of the lengths of the other two sides, so:

8\leq 3+7 = 10

Therefore, yes, it is possible to build a closed triangular pen.

6 0
3 years ago
Find the value of a in the equation 6a-7=3a+14
aleksandr82 [10.1K]

Answer:

a=7

Step-by-step explanation:

Given,

6a-7=3a+14

or,6a-3a=14+7

or,3a=21

or,a=7 [ANSWER]

6 0
3 years ago
Read 2 more answers
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