So,
The problem tells us that the length of the rectangle is 5 feet more than twice the width.
Mathematically:
length = 5 + 2width
l = 5 + 2w
We know that the perimeter is 2l + 2w.
2l + 2w = 130
2(5 + 2w) + 2w = 130
Distribute
10 + 4w + 2w = 130
Collect Like Terms
10 + 6w = 130
Subtract 10 from both sides
6w = 120
Divide both sides by 6
w = 20
The width is 20.
Since
l = 5 + 2w
Substitute
l = 5 + 2(20)
Multiply
l = 5 + 40
Collect Like Terms
l = 45
The length is 45.
Check
2l + 2w = 130
2(45) + 2(20) = 130
90 + 40 = 130
130 = 130
Width: 20 ft.
Length: 45 ft.
To determine how many acres would minimize cost, we need to differentiate the expression given and set it to zero and obtain the value of x. We do as follows:
C(x) = 0.2x^2 - 12x +240
C'(x) = 0.4x - 12
0 = 0.4x - 12
x = 30 acres <---------amount of flowers needed to minimize cost
Answer:
24 in long by 12 in wide.
Step-by-step explanation:
l=2w
288=(2w)×w
288=2w^2
144=w^2
12=w
width is 12 inches. Plug that in to find length...
l=2×12
l=24
Is there a number minus what equal 216 if not you can do 500-284 equals 216 to check that just do 500-216 and it should be 284. hope this helps!!!!!!
Answer: the same length for one of the other two legs.
It doesn't matter which leg since the triangles could be rotated. If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
