Answered

At IDNLearn.com, find answers to your most pressing questions from experts and enthusiasts alike. Get the information you need from our community of experts, who provide detailed and trustworthy answers.

the length of a rectangle is 3 meters less than twice the width if the area is 104 square meters find the length

Sagot :

Deathstrike001idn
x-width
2x-3-length

A=lxw
104=(2x-3)(x)
104=2x^2-3x
52=x^2-3/2(x)
52+9/16=x^2-3/2(x)+9/16
841/16=(x-3/4)^2
29/4=x-3/4
x=32/4 or 8

length is 2(8)-3 which is 13 and width is 8


Rohan11idn

Answer:

l = 13 m

Step-by-step explanation:

Let's call the width of the rectangle x. Then we can form an expression for the length of the rectangle: 2x - 3

Now we need to form an equation for the area of the rectangle and solve it:

x(2x - 3) = 104

2x² - 3x = 104

2x² - 3x - 104 = 0 - now we need to factorize the equation

(2x + 13)(x - 8) = 0

Now we can say that x = 8 or x = -6.

Because we cannot have a negative length, x = 8 m.

Now we can workout the length using the expression that we formed at the beginning:

2x - 3 = l

2(8) - 3 = l

l = 16 - 3

l = 13 m

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.