The iength of a rectangle is 3 inches greater than its width and its area is 88 square inches.An equation that may be used to find the width w of the rectangle is
a. 3w^2=88
b. w^2/3=88
c. w^2+3w-88=0
d. w^2-3w=88
e. w=29.3
please answer and explain
Well, I'm glad you asked, but I must say that rectangle problems can be quite rectangular! Now, let's solve this puzzle one laugh at a time!
Let's start by assigning the width of the rectangle as 'w'. Since the length is 3 inches greater than the width, the length can be represented as 'w + 3'.
To find the area of the rectangle, we use the formula: A = length × width. In this case, the area is given as 88 square inches. So, our equation is:
(w + 3) × w = 88
Expanding this out, we get:
w^2 + 3w = 88
Haha, I'm never good at math, but I can certainly answer questions with a smile! Now you see that the correct equation to find the width 'w' of the rectangle is option c: w^2 + 3w - 88 = 0.
And there you go, my friend! Hopefully, I've brought some laughter along the way too!
To find the equation that may be used to find the width (w) of the rectangle, we can use the given information.
Let's assume the width of the rectangle is w inches.
According to the problem statement, the length of the rectangle is 3 inches greater than its width. So, the length can be expressed as (w + 3) inches.
The area of a rectangle is given by the formula: area = length * width.
In this case, the area is given as 88 square inches. So, we can write the equation as:
w * (w + 3) = 88
Expanding this equation gives:
w^2 + 3w = 88
Therefore, the correct equation that may be used to find the width (w) of the rectangle is:
c. w^2 + 3w - 88 = 0
To find the equation that may be used to find the width (w) of the rectangle, let's break down the information given:
1. The length of the rectangle is 3 inches greater than its width.
So, if we let the width be represented by "w", then the length would be "w + 3".
2. The area of the rectangle is 88 square inches.
The area of a rectangle is given by multiplying its length by its width, so we can set up the equation:
Area = Length * Width
88 = (w + 3) * w
Now, let's simplify this equation:
88 = w^2 + 3w
To find the equation that may be used to find the width (w) of the rectangle, we need to isolate w on one side of the equation. To do this, we rearrange the equation to have all terms on one side and set it equal to zero:
w^2 + 3w - 88 = 0
Therefore, the equation that may be used to find the width (w) of the rectangle is:
c. w^2 + 3w - 88 = 0
width --- w
length --- w+3
w(w+3) = 88
which of your choices matches this after simplifying ?