Answer:
Breadth = 8 cm
Length = 17 cm
Step-by-step explanation:
Given rectangle:
Breadth = x cm
Length = x + 9 cm
Area = length * breadth
= x * (x + 9)
= x² + 9x
Rectangle with length and breadth increased:
Breadth = x + 3 cm
Length = x + 9 + 3 = x + 12 cm
Area = 84 + (x² + 9x) cm²
(x +3) * (x +12) = 84 + x² + 9x
Use FOIL method
x*x + x*12 + 3*x + 3*12 = 84 + x² + 9x
x² + 12x + 3x + 36 = 84 + x² + 9x {add the like terms}
x² + 15x + 36 = 84 + x² + 9x
x² + 15x + 36 - 84 - x² - 9x = 0
6x - 48 = 0
6x = 48
x = 48/6
x = 8
Breadth = x = 8 cm
Length = x + 9 = 8 +9 = 17 cm
First of all, you spell $dollars with an a not an e. Second of all, the answer is $4.40
Answer:
16.4
Step-by-step explanation:
To decrease a number by 45% of its value, you subtract the 45%. To get 45%, you multiply the number by 0.45.
So, if x is the original number, then the equation for this word problem would be x - 0.45x = 9.
To solve, we first subtract 0.45x from x, which is 0.55x. This means that 0.55x is equal to 9. To simplify, we can divide both sides by 0.55. 9/0.55 is 16.36363636..., etc. The nearest tenth would be 0.4, so your answer is 16.4
Width = w
d)length in term of width
w + 5
b)
2(w + w + 5) > 30
2(2w +5)>30
c)
solve
2(2w +5) > 30
4w + 10 > 30
4w > 20
w > 5
