Now the width is w.
It's twice as long as wide, so now the length is 2w.
If the length is increased by 4 cm, the length will be 2w + 4.
The width is decreased by 3 cm, so the width will be w - 3.
The are of the new rectangle is 100 cm^2.
area = length * width
area = (2w + 4)(w - 3)
The area of the new rectangle is 100, so we get
(2w + 4)((w - 3) = 100
2w^2 - 6w + 4w - 12 = 100
2w^2 - 2w - 112 = 0
w^2 - w - 56 = 0
(w - 8)(w + 7) = 0
w - 8 = 0 or w + 7 = 0
w = 8 or w = -7
A width cannot be negative, so discard w = -7.
w = 8
The width is 8 cm.
The length is twice the width, so the length is 16 cm.
Part 2:
-4a + 2 + 11a = 5a + 3 + 2a
~Combine like terms
7a + 2 = 7a + 3
~Subtract 2 to both sides
7a = 7a - 1
~Subtract 7a to both sides
0 = 1
Therefore, there are no solutions.
Best of Luck!
Answer:
its 4 bv 1x4 is 4 4x4 is 16 and 16x4 is 64! goodluck!
Answer:
1) 34 square meters
2) 21 square yards
Step-by-step explanation:
1) 7x4=28
1/2x3x2x2=6
28+6= 34 square meters
2)3x3=9
1/2x3x2x4=12
9+12= 21 square yards
Answer:
3) C) $792.50
4) D) $707.50
Step-by-step explanation:
3) Home price = $ 253,600
Mortgage rate = 3.75% APR
Therefore, monthly rate = 3.75% divide by 12
= 0.0375/12
= 0.003125
1st month interest = principle * 0.003125
= 253600*0.003125
=$792.50
3) Answer: $792.50
4) You paid $1500
The first monthly interest = $792.50
Principal paid in the first month = 1500 - 792.50
= $707.50
Answer: D) $707.50
Thank you.
