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Feliz [49]
3 years ago
13

The area of rectangular field is 1440 sq meters and perimeter is 152 metre. Out of length or breadth which one is to be decrease

d by what percentage to make it a square? Why? Find it
Mathematics
1 answer:
Arturiano [62]3 years ago
6 0

Answer:

If Length is decreased by 10% then it would become a square.

Step-by-step explanation:

Given:

Area of Rectangular field = 1440 sq. m

Perimeter = 152 m.

We need to find which one needs to be decreased by what percentage to make it a square.

Solution:

Let length be denoted by 'l'.

Also Let width be denoted by 'w'.

Now we know that Area of rectangular field is given by Length times width.

framing in equation form we get;

l\times w = 1440 \ \ \ \ equation\ 1

Also we know that Perimeter of rectangular field is given by 2 times sum of  Length and width.

framing in equation form we get;

2(l+w) =152\\\\l+w =\frac{152}{2}\\\\l+w=76\\\\l=76-w \ \ \ \ equation \ 2

Now Substituting equation 2 in equation 1 we get;

l\times w =1440\\\\(76-w)w=1440\\\\76w-w^2=1440\\\\w^2-76w+1440 =0

Now we will find the root by factorizing the same we get;

w^2-36w-40w+1440=0\\\\w(w-36)-40(w-36)=0\\\\(w-36)(w-40) =0 \\

Now solving for each to find the value of 'w' we get;

w-36 =0\\\\w=36\\\\also \\\\w-40=0\\\\w=40

So We can say that;

Width = 36 m and Length = 40 m

Now we need to find out of length or breadth which one is to be decreased by what percentage to make it a square.

We know that square has all sides same.

So from the data we found we can say that if length is decreased by 4 then length and breadth(width) both will be equal.

So to find percentage decreased we will divide length to be decreased by total length and then multiply by 100.

framing in equation form we get;

percentage decreased = \frac{4}{40}\times 100 = 10\%

Hence If Length is decreased by 10% then it would become a square.

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Step-by-step explanation:

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Mr Patel is planning to drive 325 miles. He will stop one hour for lunch and take a 15 min rest break.
mr_godi [17]

Option D

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<em><u>Solution:</u></em>

<em><u>Mr Patel is planning to drive 325 miles</u></em>

Average speed is 65 mph

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Let us first find the time taken

Time = \frac{distance}{speed}

Time = \frac{325}{65}\\\\Time = 5

Thus he covers 325 miles in 5 hours

Also, given that, he will stop one hour for lunch and take a 15 min rest break

<em><u>Therefore, total time taken for trip is:</u></em>

Total time = 5 hours + 1 hour + 15 minutes

Total time = 6 hours 15 minutes

We know that,

1 hour = 60 minutes

Therefore,

6\ hours\ 15\ minutes\ = 6 + \frac{15}{60}\ hours = 6 + \frac{1}{4} = 6\frac{1}{4}\ hours

Thus the trip lasts for 6\frac{1}{4}\ hours

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3 years ago
The base of a triangle is 4 meters shorter than the height. What are the height and length of the triangle if its area is 48 squ
Sergeeva-Olga [200]

Answer: H=12 and B=8

Looking at the problem, you are given the area, <em>a</em> , and told the h is 4 meters longer than <em>b; </em>in other words, <em>h</em>=<em>b</em>+4.

Since <em>a=</em>1/2<em>bh</em>, you can replace <em>a</em> with 48. Also, since <em>h</em> is <em>b</em>+4, you can replace that as well. You'd end up with this equation:

48=1/2b(b+4)

1. Seeing that 48 is 1/2 of <em>b,</em> you know that you have twice the value of 48, or 96. So, you can put that 96=<em>b(b+4). </em>

2.<em> </em>Now, thinking through factors of 96-  1 x 96, 2 x 48, 3 x 32, 4 x 24, 6 x 16, or 8 x 12, the only pair in which <em>h </em>is b+4 is 12 x 8.

Hope this helps,

Lacia :))

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The sector of a circle with a 12 in. radius has a central angle measure of 60°. What is the exact area of the sector in terms of
IRINA_888 [86]
The sector of the circle formed by its two radius of length 12 inches has an area of 24 pi. This is obtained using the formula, Area is equal to the product of pi, radius squared and central angle all over 360.
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The cost of a pen at the office supply store is $2.65. the school store sells the pen for $3.45. How much does the school store
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Answer:

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The increase in price (as a decimal fraction) is 0.80/2.65, or 0.301; as a percentate, this is 30.1%

7 0
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