Middle School

We appreciate your visit to The length of a rectangle is 5 inches more than 3 times the width If the area of the rectangle is 68 square inches what. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

The length of a rectangle is 5 inches more than 3 times the width. If the area of the rectangle is 68 square inches, what are the length and width?

Answer :

To solve this problem, we will use the formula for the area of a rectangle, which is equal to length times width. We are given that the area of the rectangle is 68 square inches and the length of the rectangle is 5 inches more than 3 times the width.

Let's denote the width of the rectangle as w. From the problem statement, we know that the length of the rectangle, l, is 3w + 5.

So we can set up the equation as follows:
l * w = 68
Substitute the expression for l into the equation:
(3w + 5) * w = 68

To solve this equation, we expand it, rearrange terms and solve for w:
3w² + 5w = 68
3w² + 5w - 68 = 0

We find the roots of this equation using the quadratic formula. The value of w that we obtain is -17/3. Note that a rectangle cannot have a negative width, so this solution has no practical meaning in this context.

Next, we substitute w = -17/3 into the equation for the length to find the length:
l = 3 * (-17/3) + 5
l = -12

Again, a rectangle cannot have a negative length. Therefore, the problem as stated does not have a solution in the domain of real numbers that makes sense in this context.
(If your question implied that width and length could be negative as valid values, then the solution would be: length = -12 inches and width = -17/3 inches.)

Thanks for taking the time to read The length of a rectangle is 5 inches more than 3 times the width If the area of the rectangle is 68 square inches what. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Answer:

Width=4, and Length=17

Step-by-step explanation:

first you will make a variable for the width which i will say is x

now make it an equation (3x+5) (x) = 68

then solve 3x^2+5x=68

then 3x^2+5x-68=0

then x=4

then you have to substitute so 3(4)+5= 17 and 4