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3 years ago

8

The area of a rectangle is 35 cm2 what could the length of the 4th sides be

1 answer:

Talja [164]3 years ago

6 0

Answer:

Step-by-step explanation:

Area of a rectangle is length times width. Since a rectangle has four sides, there will be two sides that have the length size and two with the width. Anyway, now we need to find what numbers multiply together to make 35.

7 and 5 are the only whole numbers that multiply together to make 35, so those hve to be the length and width. So two sides opposite each other are going to be 7 cm and the other two are going to be 5 cm

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sasho [114]

Answer:

x=6

Step-by-step explanation:

a²+b²=c²

x²+8²=10²

x²+64=100

x²=36

x=6

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3 years ago

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3 years ago

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Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?

Yuri [45]

Answer:

Option D. AC= 10 cm and CE= 5 cm

Step-by-step explanation:

From the given figure two triangles ΔABC and ΔADE are similar and two lines BC║DE.

From these similar triangles we know

$\frac{AB}{AD}=\frac{BC}{DE}=\frac{AC}{AE}$

$\frac{8}{12}=\frac{BC}{9}=\frac{AC}{AE}$

Therefore $\frac{AC}{AE}=\frac{8}{12}=\frac{2}{3}$

Or AC= $\frac{2}{3}AE$

Now from pythagoras theorem

AE = √(AD²+ED²) = √(12²+9²) = √(144+81) =√225 = 15 cm

Since we know side AC = $\frac{2}{3}AE$

= $\frac{2}{3}\times 15$

= 10 cm

Therefore AC = 10 cm and AE = 15cm and CE = (15-10) = 5 cm

8 0

3 years ago

I need this quickly please

IRINA_888 [86]

Answer:

y = 15x + 20 or 15x - y + 20 = 0

x = 11

Step-by-step explanation:

Line is passing through the points (0, 20) & (2, 50)

Slope of line = (50 - 20)/(2 - 0) = 30/2 = 15

Equation of line

y - 20 = 15(x - 0)

y - 20 = 15x

y = 15x + 20 or 15x - y + 20 = 0

Plug y = 185 in above equation, we find:

185 = 15x + 20

185 - 20 = 15x

165 = 15x

x = 165/15

x = 11

5 0

3 years ago

What is the area of this regular pentagon that has been divided into five congruent triangles?

Len [333]

Answer:

120 cm^2.

Step-by-step explanation:

The area of one triangle = 1/2 * base * height

= 1/2 * 8 * 6

= 1/2 * 48

= 24 cm^2

So area of the pentagon = 5 * 24

= 120 cm^2.

7 0

3 years ago