Answer:
2L + 2W = 88
L = W + 12
L = 28 feet & W = 16 feet
Step-by-step explanation:
2L + 2W = 88
[] The perimeter of a rectangle is length + length + width + width, shortned as 2(legnth) + 2(width) and since the perimeter of the garden is 88, this option works.
L = W + 12
[] The length is 12 feet longer than the width, so the width + 12 will equal the length
Solving:
{ 2L + 2W = 88
{ L = W + 12
[Plug-in] 2(W + 12) + 2W = 88
[Distribute] 2W + 24 + 2W = 88
[Combine like terms] 4W + 24 = 88
[Subtract 24 from both sides] 4W = 64
[Divide both sides by 4] W = 16
L = W + 12 -> L = (16) + 12 -> L = 28
Have a nice day!<em> - Side note, is your screen okay? lol</em>
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
85
Step-by-step explanation:
Number of students that checked at least one of the statements means that they checked one or more than one of the statements = 28 + 26 + 14 + 8 + 4 + 3 + 2 = 85
Let:
L = Length
W = Width
The length is 7cm longer than its width, so:
The area is given by:
Therefore:
Solve for W using the quadratic formula:
![\begin{gathered} W=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ W=\frac{-7\pm\sqrt[]{7^2-4(1)(-240)}}{2(1)} \\ W=\frac{-7\pm\sqrt[]{1009}}{2} \\ W\approx12.38238 \\ or \\ W\approx-19.38238 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20W%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D%20%5C%5C%20W%3D%5Cfrac%7B-7%5Cpm%5Csqrt%5B%5D%7B7%5E2-4%281%29%28-240%29%7D%7D%7B2%281%29%7D%20%5C%5C%20W%3D%5Cfrac%7B-7%5Cpm%5Csqrt%5B%5D%7B1009%7D%7D%7B2%7D%20%5C%5C%20W%5Capprox12.38238%20%5C%5C%20or%20%5C%5C%20W%5Capprox-19.38238%20%5Cend%7Bgathered%7D)
Therefore:
W = 12.38238 since a negative width wouldn't make any sense
and:
Answer:
W = 12.38238 m
L = 19.38238 m
Answer:
9/4
Step-by-step explanation:
16y = 36
divide both sides by 16
y = 36/16
36/16 can be simplified to 9/4 (by dividing numerator and denominator both by 4)
= 9/4
