9514 1404 393
Answer:
7 in
Step-by-step explanation:
For width w in inches, the length is given as 2w+1. The area is the product of length and width, so we have ...
A = LW
105 = (2w +1)w
2w^2 +w -105 = 0
To factor this, we're looking for factors of -210 that have a difference of 1.
-210 = -1(210) = -2(105) = -3(70) = -5(42) = -6(35) = -7(30) = -10(21) = -14(15)
So, the factorization is ...
(2w +15)(w -7) = 0
Solutions are values of w that make the factors zero:
w = -15/2, +7 . . . . . negative dimensions are irrelevant
The width of the rectangle is 7 inches.
Answer:
p=18x+4
a=20x^2+17x-63
a=1350
Step-by-step explanation:
Given:
l=5x-7
w=4x+9
Required:
Area of the rectangle=?
Perimeter of the rectangle=?
If x = 9 inches what is the area of the shape=?
Formula:
a=l*w
p=2(l+w)
Solution:
p=2(l+w)
p=2(5x-7)+2(4x+9)
p=10x-14+8x+18
p=10x+8x+18-14
p=18x+4
a=l*w
a=(5x-7)(4x+9)
a=20x^2+45x-28x-63
a=20x^2+17x-63
Area of the shape if x=9in
a=20x^2+17x-63
a=20(81)+17(9)-63
a=1620+153-63
a=1413-63
a=1350
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Answer:
Can't tell if it went through...
1. Shop A = 2x
2. Shop B = 2x - 580
3. Total = Shop A + Shop B
1949 = 2x + 2x - 580
4. Combine like terms
2x + 2x = 4x
1949 = 4x - 580
5. Add 580 to both sides (to remove -580 from right side)
1949 + 580 = 4x - 580 + 580
2529 = 4x
6. Divide both sides by 4 (to get x)
2529 / 4 = 4x / 4
632.25 = x
7. Shop A = 2x
2 * 632.25 = 1264.50
Shop A = 1264.50
8. Shop B = 2x - 580
2 * 632.25 - 580 = 684.50
Shop B = 684.50
Check: Shop A + Shop B = 1949
1264.50 + 684.50 = 1949
Shop A = 1264.50
Shop B = 684.50
Step-by-step explanation: