Answered

Discover a wealth of knowledge and get your questions answered at IDNLearn.com. Our Q&A platform offers reliable and thorough answers to ensure you have the information you need to succeed in any situation.

You Try! As an Equation Example B: A rectangle has a width that is 5 feet less than the length. The area of the rectangle is 126 square feet. Find the dimensions of the rectangle. Write an equation to model this problem and solve it in the sketch area below. 市里。 Entrega

Sagot :

Let the width be w and the length be l

Since the width is 5ft less than the length,

then

w=l-5

The area of the rectangle is 126 square feet

Then

l times w = 126

therefore

l(l-5) = 126

[tex]\begin{gathered} \Rightarrow l^2-5l=126 \\ \Rightarrow l^2-5l-126=0 \end{gathered}[/tex]

Factorising the equation, we have:

[tex]\begin{gathered} l^2+9l-14l-126=0 \\ \Rightarrow(l+9)(l-14)=0 \\ \Rightarrow l=-9\text{ or 14} \end{gathered}[/tex]

Since l cannot be negative

then the only correct option is l=14

Since w = l - 5

then

w = 14 - 5 = 9

Therefore the length is 14ft and the width is 9ft

We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.