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Advocard [28]
1 year ago
10

the length of a rectangle exceeds its width by 17 inches, and the area is 18 square inches. what are the length and width of the

rectangle
Mathematics
1 answer:
dimaraw [331]1 year ago
5 0

The length and width of the rectangle are 18 in and 1 in, respectively.

<h3>Quadrilaterals</h3>

There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, in a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

The area of a rectangle can be found for the formula : b*h, where b = base and h =height.

For this question, the length exceeds its width by 17 inches - L=W+17. Here, the length is the base and the width is the height. Thus,  from the value of area given, you can find the values of the length and width of the rectangle.

A=b*h

18=(W+17)*W

18=W²+17W

W²+17W-18=0

Solving this quadratic equation, you have:

w_{1,\:2}=\frac{-17\pm \sqrt{17^2-4\cdot \:1\cdot \left(-18\right)}}{2\cdot \:1}

w_{1,\:2}=\frac{-17\pm \:19}{2\cdot \:1}

w1=1 and w2= -18

For dimensions, only positive numbers must be used. Then, the width is equal to 1 inch.

As, the area (l*w) is 18 in², see.

18=l*w

18=l*1

l=18 in

Read more about the area of rectangle here:

brainly.com/question/25292087

#SPJ1

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In the sequence 400, 200, 150, 75, 25...... what number comes next
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Answer:

The next term in the sequence = -175

Step-by-step explanation:

Here, the given sequence is : 400, 200, 150, 75, 25...

Now here, in the given sequence,

First Term - Second Term = 400 - 200 = 200

Second Term -   Third Term   =  200  - 150  = 50

Third term  - Fourth Term  = 150 - 75   = 75

Fourth term - Fifth term = 75 - 25 =  50

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Define two terms, each containing the variables x and y, with exponents on each. (For example: 10x3y−5.) Find the quotient of th
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