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marusya05 [52]
3 years ago
7

The larger square is composed of 16 smaller squares. Find the length of the sides of Square "a".

Mathematics
2 answers:
kondaur [170]3 years ago
6 0

Answer:

2.5 ft.

Step-by-step explanation:

The area of the side of each smaller square = 100 / 16 sq ft.

= 6.25 sq feet.

So the length of each smaller square =  square root of 6.25

= 2.5 ft.

Pie3 years ago
4 0
2.5 feet hope it helps
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Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1
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Answer:

<em>Area of polygon D = 10 square units</em>

Step-by-step explanation:

<u>Given:</u>

Polygon <em>C </em>has an area of 40 square units.

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<u></u>

<u>To find:</u>

The area of polygon D = ?

<u>Solution:</u>

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And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

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A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units

If scaled with a factor \frac{1}{2}, the sides will be 3, 4 and 5.

New area, A':

A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A

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  • Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = Length \times Width = 8 \times 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 \times 5 =20 sq units

So, \bold{A' = \frac{1}4 \times A}

Now, we can apply the same in the given question.

\therefore Area of polygon D = \bold{\frac{1}{4}}\times Area of polygon C

Area of polygon D = \bold{\frac{1}{4}}\times 40 = <em>10 sq units</em>

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