the length of a rectangle is 4 feet more than its width. The area of the rectangle is 60ft^2. Find the length and width of the r
ectangle.
1 answer:
Answer:
10 and 6
Step-by-step explanation:
Let A be the area of the rectangle, w the width and L the length
● A = w*L
The length is 4 feet more that the width so L = w+4
● A = w ×(w+4)
● A = w^2 + 4w
The area is 60 ft^2
● w^2 + 4w = 60
Substract 60 from both sides
● w^2 + 4w - 60 = 0
This a quadratic equation
We will solve it by graphing it
The solution are 6 and -10 since the graph intersect with the x-axis in those points (pictures below)
The width is 6 feet long since it is a distance and a distance is always positive.
● w = 6
● L = w + 4
● L = 6 + 4
● L = 10
The width is 6 feet and the length is 10 feet
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Answer:
a. Divide the figure into two rectangles, find the area of each rectangle and add them (See the picture attached).
b.
c. The total area of the figure is 279 square inches.
Step-by-step explanation:
a. Divide the figure into two rectangles (See the picture attached), then find the area of each rectangle and finally, add the areas calculated in order to get the total area of the given figure,
b. The area of a rectangle can be found using this formula:
Where "l" is lenght and "w" is the width.
Area of Rectangle A
You can identify that:
Then, its area is:
Area of Rectangle B
You can identify that:
Then, its area is:
Total area
c. The total area of the figure is 279 square inches.
