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2 years ago

Help 15 points for the answer

Mathematics

1 answer:

Rashid [163]2 years ago

8 0

Answer:

3x² + 7x + 6

Step-by-step explanation:

Big Rectangle:

A = bh

A = (x + 3)(x + 2)

A = x² + 2x + 3x + 6

A = x² + 5x + 6

Small rectangle:

A = bh

A = (x + 1)(2x)

A = 2x² + 2x

Combined:

x² + 5x + 6 + 2x² + 2x

3x² + 7x + 6

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If the length of diagonal of a square is 4√2 cm, find it's length, perimeter and area.

Sonbull [250]

Answer:

As Per Provided Information

Length of diagonal of square is 4√2 cm

We have been asked to find the length , perimeter and area of square .

First let's calculate the side of square .

Using Formulae

$\boxed{\bf \:Diagonal_{(Square)} \: = side \sqrt{2}}$

On substituting the value in above formula we obtain

$\qquad\longrightarrow\sf \:4 \sqrt{2} = side \sqrt{2} \\ \\ \\ \qquad\longrightarrow\sf \:4 \cancel{\sqrt{2}} = side \cancel{ \sqrt{2}} \\ \\ \\ \qquad\longrightarrow\sf \:side \: = 4 \: cm$

Therefore,

Length of its side is 4 cm.

Finding the perimeter of square.

$\boxed{\bf \: Perimeter_{(Square)} = 4 \times side}$

Substituting the value we obtain

$\qquad\longrightarrow\sf \:Perimeter_{(Square)} \: = 4 \times 4 \\ \\ \\ \qquad\longrightarrow\sf \:Perimeter_{(Square)} = 16 \: cm$

Therefore,

Perimeter of square is 16 cm .

Finding the area of square .

$\boxed{\bf \: Area_{(Square)} = {side}^{2}}$

Substituting the value we get

$\qquad\longrightarrow\sf \:Area_{(Square)} \: = {4}^{2} \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Square)} = 16 \: {cm}^{2}$

Therefore,

Area of square is 16 cm².

3 0

2 years ago

3/4 = x/10 Please write the answer in decimal form. X = ?

Morgarella [4.7K]

Answer:

x=7.5

Step-by-step explanation:

To solve this, cross multiply

3/4=x/10

4*x=3*10

4x=30

Divide by 4 on both sides

x=7.5

Hope this helps! :)

8 0

2 years ago

Read 2 more answers

Find the area of this triangle. 6 ft 10 ft

Natalija [7]

The area of this figure would be 30 ft^2 hope this helped!!

5 0

1 year ago

Factor the GCF: −12x3y5 − 9x2y2 + 12xy3

Luba_88 [7]

−12x3y5 − 9x2y2 + 12xy3
-3xy^2(4x^2y^3+3x-4y)

6 0

3 years ago

Find the product of 2x^2(x + 3)

KengaRu [80]

Answer:

16x

Step-by-step explanation:

2x^2(x+3)

2 times 2 = 4

4x(x+3)

4x + 12x =

16x

5 0

3 years ago