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Nitella [24]
2 years ago
13

A rectangle has an area of 4 square centimeters. A second rectangle is 3 times as long and 3 times as wide as the first rectangl

e. What is the area of the second rectangle?
Mathematics
1 answer:
vekshin12 years ago
5 0

Answer:

The area of the second rectangle will be 36 square centimetres

Step-by-step explanation:

Given:

Area of the first rectangle  =  4 square centimetres

A second rectangle is 3 times as long and 3 times as wide as the first rectangle

To Find:

Area of the second rectangle = ?

Solution:

We know that area of the rectangle is  Length X breadth

Length X width = 4

In this case the are 2 possibilities

Case 1:

Length = 2 cm

Width  = 2 cm

2 X 2 = 4

Now According to the question

Length is 3 times  = 2 X 3 = 6cm

width is also 3 times  = 2 X 3 = 6 cm

Now the area of the second rectangle will be

6 X  6 = 36 square centimetres

Case 2:

Length = 4 cm

Width  = 1 cm

4 X 1 = 4

Now According to the question

Length is 3 times  = 4 X 3 = 12 cm

width is also 3 times  = 1 X 3 =3 cm

Now the area of the second rectangle will be

12 X  3 = 36 square centimetres

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snow_lady [41]

The value of (102)^3 exists 1061208.

<h3>How to estimate the value of (102)^3?</h3>

Let us rewrite (102)^3 as (100+2)^3

Now utilizing the identity (a+b)^3=a^3+b^3+3ab(a+b), we get

a = 100 and b = 2 then substitute the values of a and b then

(100+2)^3=100^3+2^3+[(3\times100\times2)(100+2)]

= 1000000 + 8 + (600 × 102)

= 1000000 + 8 + 61200

= 1061208

Hence, (102)^3=1061208

Therefore, the value of (102)^3 exists 1061208.

To learn more about cubic polynomial equation refer to:

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2 years ago
(-2x-1)^2=0 How to solve brackets, please help
malfutka [58]
Not quite sure what you mean by brackets, but you can get the solution to this equation in a few steps:

<span>(-2x - 1)</span>² <span>= 0  ... square root both sides to eliminate the squared binomial
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-2x = 1
x = -1/2 is your x-value.
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3 years ago
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Which points are generated by the function y = -5x + 2? Check all that apply. (2, 8) (2, -8) (13, 3) (3, -13)
Zanzabum
(2,-8) (3,-13) because if you plug them all in there the only ones that come out right 

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Tavon has a gift card for $45 that loses $2 for each​ 30-day period it is not used. He has another gift card for $35 that loses
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Step-by-step explanation:

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3 years ago
What is the simplified form of the following expression? 2√27+√12-3√3-2√12
LiRa [457]

Answer:

√3

Step-by-step explanation:

The given expression to be simplified is

2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}

but

2 \sqrt{27}=2\sqrt{9 \times 3}=2 \times \sqrt{9}\times \sqrt{3}=2 \times 3 \times\sqrt{3}=6 \sqrt{3}

\sqrt{12}=\sqrt{4\times3}= \sqrt{4}\times \sqrt{3}=2\sqrt{3}

Since √12=2√3,this implies that,

2\sqrt{12}=2\times2\sqrt{3}=4 \sqrt{3}

Therefore,

2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}=6\sqrt{3}+2\sqrt{3}-3 \sqrt{3} -4\sqrt{3}

=(6+2-3-4)\sqrt{3}

=\sqrt{3}

The simplified form of ,

2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12} is √3

8 0
3 years ago
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