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Afina-wow [57]
3 years ago
12

The length of a rectangle is 8 more than the width. The perimeter of the rectangle is 56 inches. Write and solve a system of lin

ear equations to find the length and width of the rectangle. Show and explain each step thoroughly.

Mathematics
2 answers:
Elenna [48]3 years ago
5 0
There are 4 sides to a rectangle, which we will name as x as we do not know their length yet. We will be adding up these 4 sides as we are given the perimeter. However, we know that the length of the of the rectangle is 8 units longer than its width, which will make them x+8 units long. So, our equation is:
x+(x+8)+x+(x+8)=56
where x is a measure of the width and (x+8) is a measure of the length. Now we solve, first collecting the like terms:
x+x+8+x+x+8=56
4x+16=56
Now minus 16 on both sides:
4x=40
And finally divide by 4 on both sides to isolate x:
x=10
So, the width (x) is 10 units, and the length (x+8) is 12 units.
labwork [276]3 years ago
4 0
I assume that the length of the rectangle is 8 inch more than width .

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eimsori [14]

Answer:

The answer is: the second one

Step-by-step explanation:

                                             (2x + 2)/y = 4w + 2

pass y to the right side        2x + 2 = y(4w + 2)

expand                                   2x +2 = 4wy + 2y

pass 2 to the right                2x = 4wy + 2y -2

pass 2 to the right                x = (4wy + 2y - 2)/2

simplify                                  x = 2wy + y - 1 or = 2yw + y -1

8 0
3 years ago
6. Matthew is planning to build a right triangular
saul85 [17]
The answer to this question will be B
8 0
3 years ago
The sum of the areas of two circles is 80 pie square meters. Find the length of a radius of each circle if one of them is twice
Svetach [21]

Answer:

The radius of the circles are 4\ m  and   8\ m

Step-by-step explanation:

Let

x-----> the radius of larger circle

y----> the radius of smaller circle

we know that

\pi x^{2} +\pi y^{2}=80\pi

x^{2} +y^{2}=80 -----> equation A

Remember that

x=2y -----> equation B

substitute equation B in equation A and solve for y

(2y)^{2} +y^{2}=80

4y^{2} +y^{2}=80

5y^{2}=80

y^{2}=16

y=4\ m

Find the value of x

x=2y

x=2(4)=8\ m

therefore

The radius of the circles are 4\ m  and   8\ m

4 0
3 years ago
5+6(2x-1) <br> i need this like now pls
Crank

Answer:

Step-by-step explanation:

5 + 6 = 11 x 2 - 1 = 21 therefore its 21

5 0
2 years ago
Calculate 50% of 684 m.<br> Give your answer in metres (m).
Phantasy [73]

Answer:

<h2><u><em>342 m</em></u></h2>

Step-by-step explanation:

Calculate 50% of 684 m.

Give your answer in metres (m).

50% = 1/2

so

684 : 2 = 342 m

4 0
2 years ago
Read 2 more answers
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