If a rectangler has an area of 34 and the width is half the length what are the length and the width

1 answer:

3 0

A=LW,

W=L/2, L=2W so:

A=(2W)W

A=2W^2 and A=34 so:

2W^2=34

W^2=17

W=√17, and since L=2W

L=2√17

So the length is 2√17 and the width is √17

(length≈8.25 and width≈4.12 if you wanted approximations...)

You might be interested in

Explain why x and 4x - 10 are factors of the expression x(4x - 10)3 rather than terms of the expression. What are the terms of t

andriy [413]

Solution :- Let p(x) be the polynomial such that

$p(x) = x(4x-10)^3\\\text{and let f(x) be another polynomial such that }\\f(x)=4x-10\\\text{To find , Put } f(x)=0\\\Rightarrow4x-10=0\\\Rightarrow4x=10\\\Rightarrow x=5/2\\\text{Now substituting value of x in p(x),we get}\\p(x)=\frac{5}{2} .(4(5/2)-10)^3\\\Rightarrow\frac{5}{2}.(10-10)^3=0\\\text{Similarly let g(x)=x ,we get x=0 by putting g(x)=0}\\\text{now f(x)=0 for x=0}\\\text{So by Factor theorem f(x) and g(x) are the factors of polynomial p(x)}\\$

$\text{Now} p(x) = x(4x-10)^3\\=64x^4-480x^3+1200x^2-1000x\\\text{so the terms of terms of } p(x) \text{are} 64x^4,-480x^3,1200x^2,-1000x\\\text{here, by using Factor theorem x is a factor of all the terms but 4x-10 is not. }$

$\text{And the terms of the factor 4x-10 are 4x and -10}$

3 0

3 years ago

M is the midpoint of , cm = 2x + 3, and md = 3x – 6. what is cd? answer

wlad13 [49]

<span>If M is the midpoint of CD, CM = 2x+3 and MD = 3x-6, then:

MD = CM
3x - 6 = </span>2x + 3
3x - 2x = 3 + 6
x = 9

CM = 2x+3 = 2*9+3 18+3 = 21
MD = CM = 21
CD = CM + MD = 21 + 21 = 42

7 0

3 years ago

How to solve for y if the equation is y=5/2x + 5 if x is zero

Karolina [17]

$y=\dfrac{5}{2}\cdot0+5\\
y=0+5\\
y=5$