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Andrew [12]
3 years ago
6

A rectangular plot of ground is 5 meters longer than it is wide. It's area is 20,000 square meters. What is the deminsion

Mathematics
1 answer:
Reil [10]3 years ago
4 0
The formula for area is A = bh
B = Length
H = Width

If B is 5 times longer than H...

A = 5x(x)

Now let's solve

20000 = 5(x)(x)
20000 = 5x^2
   /5          /5
  4000 = x^2
    *square*
      20 = x

The height (width) is 20. (x)
The base (length) is 100 (5x -> 5(20) -> 100)

Proof: 20 times 100 = 20000
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Twenty toothpicks, each 6 cm long, form a figure consisting of six equilateral triangles and a rectangle as shown. What is the t
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The total area of the figure is 139.20 square centimeters

Areas

The area of a shape is the amount of space it occupies

<h3>Composite figure</h3>

The figure (see attachment) is a composite figure, and the total area is the sum of the areas of each shape that makes up the complete figure

The shape has 6 equilateral triangles, each of which has an area of:

A_1 = \sqrt{\frac{3s^2}{4}}

Where:

s = 6 --- the length of each toothpick

The area of the rectangle is then represented as:

A_2 =3s \times s

A_2 =3s^2

So, the total area of the figure is:

Total = 6A_1 + A_2

This gives

Total =6 \times \sqrt{\frac{3s^2}{4}} + 3s^2

Substitute 6 for s

Total =6 \times \sqrt{\frac{3(6)^2}{4}} + 3(6)^2

Total =6 \times \sqrt{27} + 108

Total =6 \times 5.20+ 108

Total =139.20

Hence, the total area of the figure is 139.20 square centimeters

Read more about areas at:

brainly.com/question/21135654

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