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max2010maxim [7]
4 years ago
7

The length of a rectangle is 4 more than it's width. Write an equation that will determine the dimensions if the area of the rec

tangle is 96 square inches.​
Mathematics
1 answer:
Firdavs [7]4 years ago
5 0

Answer: The equation is W^2 + 4W - 96= 0

{Please note that ^2 means raised to the power of 2}

Step-by-step explanation: We have been given hints as to the measurement of the length and width of the rectangle. The length is given as four more than the width. What that means is that whatever is the width, we simply add four to get the measurement of the length. Therefore if the width is W, then the length is W + 4.

That is,

L = W + 4 and

W = W

Also we have the area given as 96.

Remember that the area of a rectangle is given as

Area = L x W.

In this question, the Area is expressed as

Area = (W + 4) x W

96 = W^2 + 4W

Subtract 96 from both sides of the equation and we have

W^2 + 4W - 96 = 0.

We now have a quadratic equation from which we can determine the dimensions of the rectangle

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Answer:

10\frac{7}{15}  in

Step-by-step explanation:

Use the volume formula for a rectangular prism, V = lwh

Plug in the volume, length, and width, then solve for the height

V = lwh

157 = (5)(3)(h)

157 = 15h

10\frac{7}{15} = h

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3 years ago
What is the anwser I need to get this done!!
Kitty [74]

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Step-by-step explanation:

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3 years ago
Submit Assessment
Sliva [168]

the length of the rectangle is 10ft

Step-by-step explanation:

let the length = x

width = x - 4

area = length X width

so, according to the problem

x(x-4) = 60

or, x^{2} - 4x = 60

or, x^{2} -4x -60 = 0

or, x^{2} - 10x + 6x -60 = 0

or, x(x-10) +6(x-10) =0

or, (x-10)(x+6) = 0

x = 10 ( x= -6 for length this value is not possible)

so length is 10ft

width = 10 - 4 = 6ft

3 0
4 years ago
Eber ran 3 miles. He stopped to take a break every 3/4 miles. How many times did Eber stop including his final stop at the end o
nataly862011 [7]

Answer: 4 times

Step-by-step explanation:

3÷3/4=3/1×4/3=4

4×3/4=3

6 0
3 years ago
A bag has 4 red marbles, 5 blue marbles, and 6 green marbles. What is the probability if choosing a red marble from the bag, not
raketka [301]

Answer: 4/35

Step-by-step explanation:

Number of red marbles = 4

Number of blue marbles = 5

Number of green marbles = 6

Total number of marbles = 4+5+6 = 15

When a red marble is picked, the probability is 4/15, then to pick a green marble after that, we have 14 marbles left and probability of picking green is 6/14.

Now, probability of choosing a red marble from the bag, not putting it back, and then choosing a green marble will be:

= 4/15 × 6/14

= 24/210

= 4/35

6 0
3 years ago
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