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alexdok [17]
3 years ago
10

One side of a rectangle is 2 m shorter than another side. The area is 360 m2. Write a quadratic equation and solve it to find th

e length of the longer side of the rectangle
Mathematics
1 answer:
Alika [10]3 years ago
5 0

Answer:

Step-by-step explanation:

Let one of the side = x

So, other side = x - 2

Area = 360 sq.m

x*(x - 2) = 360

x*x - x * 2 = 360

x² - 2x -360 = 0

x² + 18x - 20x  - 18*20 = 0

x(x +18) - 20*(x + 18 ) = 0

(x + 18)(x -20) = 0

{x + 18 is ignored as measurement will not be a negative number}

x - 20 = 0

x = 20

Length of the longer side = 20 m

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Multiple choice question please answer it for me
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3 years ago
Find the maturity value of a loan of $2500 at simple interest that is to be repaid in 8 months. The interest rate is 4. 3%. A) $
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The maturity value of a loan of $2500 at the simple interest rate of 4.3% that is needed to be repaid in 8 months is $2607.50.

<h3>What is simple interest?</h3>

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = \dfrac{P\times R\times T}{100}

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

As it is given the principal amount of the loan is $2500, while the interest rate is 4.3%, therefore, after a period the interest on the loan will be,

SI = \dfrac{P\times R\times T}{100}\\\\SI = \dfrac{2500 \times 4.3 \times 1}{100}\\\\SI =107.5

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Now, in order to find the value of the loan we need to add the interest and the principal amount of the loan together. Therefore, the value of the loan can be written as,

The value of the loan = Principal Amount + Interest rate

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Learn more about Simple Interest:

brainly.com/question/2793278

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