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jek_recluse [69]
3 years ago
12

The ratio of the width to the length of a rectangle is 2:3, respectively. Answer each of the following. By what percent would th

e area of the rectangle change if the width of the rectangle is increased by 50% and the length is increased by the same number of units?
Mathematics
2 answers:
Anastaziya [24]3 years ago
6 0

Answer:

= 200%

Step-by-step explanation:

Answer:

200%

Step-by-step explanation:

Length and breadth is in the ratio 2:3

Then, let length = 2x and breadth = 3x

Area of rectangle = l×b = 2x×3x = 6

Now if breadth is increased by 50% ,

our new breadth will be = 3x + 50%(3x)

                                       = 4.5x

And length is increased by same number of units, length = 2x+ 2x = 4x

New area = l×b = 4.5x × 4x

                        = 18

Percentage change in area = ×1000

                                           = ×100

                                           = 200%

Julli [10]3 years ago
4 0

Answer:

Step-by-step explanation:

Let L & B be the original length & width of the rectangle then its area is

A0=LB

Now, the length & width both are increased by 50 % then new length & width become 1.5L & 1.5B then new area of rectangle

A1=1.5L×1.5B=2.25LB

Now, the percentage increase in the area of rectangle

=A1−A0A0×100 %

=2.25LB−LBLB×100 %

=125 %

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Step-by-step explanation:

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What are the roots of the polynomial equation x^2+8x-48=0
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<span>x^2+12x-4x-48 = 0</span>

<span>x(x+12)-4(x+12) = 0</span>

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<span>x+12 = 0</span>

Subtract 12 from each side.

<span>x+12-12 = 0-12</span>

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4 0
3 years ago
What is the gcf of 28 and 60
Vikki [24]

Answer:

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Step-by-step explanation:

We need to find the factors of each number

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60 -

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3 0
3 years ago
Given that the prime factorisation of 198 is 2x(3×3)x11. State the minimum integer value of
mylen [45]

Answer:

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Step-by-step explanation:

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Shtirlitz [24]

Answer:

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Step-by-step explanation:

Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.

So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length 5\sqrt{3}. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.

Let's find the complementary angle.

So the opposite side of the complementary angle is 5.

The adjacent side of the complementary angle is 5\sqrt{3}.

\tan(\theta)=\frac{5}{5\sqrt{3}}

\tan(\theta)=\frac{1}{\sqrt{3}}

\theta=\tan^{-1}(\frac{1}{\sqrt{3}})

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So 90-30=60.

The answer therefore 60+90=150.

4 0
2 years ago
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