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madreJ [45]
3 years ago
9

Find the area if the composite shape

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
3 0

Answer:

111 m²

Step-by-step explanation:

A rectangle is a quadrilateral (has four sides and four angle) with two pairs of parallel sides. Opposite sides of a rectangle are equal to each other. Also all the angles of a rectangle are 90° each.

The area of a rectangle = length * width

For rectangle 1, length = 12 m, width = 3 m

Therefore area of rectangle 1 = length * width = 12 m * 3 m = 36 m²

For rectangle 2, length =(12 m - 3 m - 3 m) = 6 m, width =(15 m - 10 m) =5 m

Therefore area of rectangle 2 = length * width = 6 m * 5 m = 30 m²

For rectangle 3, length = 15 m, width = 3 m

Therefore area of rectangle 3 = length * width = 15 m * 3 m = 45 m²

Area of composite shape = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3

Area of composite shape = 36 m² + 30 m² + 45 m² = 111 m²

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Fractor 48-8x to identify the equivalent expressions
ale4655 [162]

Answer:

8(6-x)

Step-by-step explanation:

factor out an 8

8*6 -8*x

8(6-x)

8 0
3 years ago
Leonard did this work to solve an equation. Did he make an error?
raketka [301]
Leonard made an error when he multiplied a negative by a negative and got a negative
It should look like this:
-20x + 35 + 8 = 3x
Hope this helps!
7 0
3 years ago
What is the expanded form of this number?<br><br> 509.307
ioda
92828383939.949494949
8 0
3 years ago
Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional qua
inna [77]

The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of square

<h3><u>Solution:</u></h3>

Given that side of square "a" = 7.2 cm

We have to find the perimeter of square

<em><u>The perimeter of square is given as:</u></em>

Perimeter of square = 4a

Where "a" represents the length of side of square

Substituting the given value a = 7.2 cm in above formula, we get perimeter of square

Perimeter of square = 4(7.2) = 28.8 cm

<em><u>Are the perimeter of the square and the length of its side directly proportional quantities?</u></em>

\begin{array}{l}{\text { perimeter of square }=4 a=4 \times \text { length of side }} \\\\ {\frac{\text { perimeter of square }}{\text { length of side }}=4}\end{array}

The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.

Two values are said to be in direct proportion when an increase in one results in an increase in the other.

So when length of sides increases, perimeter also increases

Hence perimeter and length of side of square are directly propotional quantities

4 0
3 years ago
Zoe has 5 pounds of potatos she has multiple recipes that require 3/4 pound of potatoes how many recipes will she be able to mak
Natali [406]
Amount of potatoes that Zoe has = 5 pounds
Quantity of potatoes that Zoe need for each recipe = 5/(3/4) 
                                                                                 = 5 * (4/3) 
                                                                                 = 20/3 
                                                                                 = 6 2/3 
From the above deduction, we can conclude that only 6 recipes can be made. The remaining amount of 2/3 will remain unused. I hope the procedure is clear enough for you to understand.
5 0
3 years ago
Read 2 more answers
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