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1. How do you solve this?
'A rectangle has a length (x+16)cm and width x cm. The square has length(3x-2) cm. The area of the rectangle is 16cm^2 more than the area of the square. The area of the square is more than 1cm^2. Find the value of x.
2. Calculate area of rectangle, calculate area of square.
Question says area of rectangle = area of square + 16
rearrange and put it into that double bracket quadratic thing to find x or use the quadratic equation init, ull probably get it with dis.
3. (Original post by BT144)
How do you solve this?
'A rectangle has a length (x+16)cm and width x cm. The square has length(3x-2) cm. The area of the rectangle is 16cm^2 more than the area of the square. The area of the square is more than 1cm^2. Find the value of x.
Area of Rectangle = (x + 16)(x)
Area of Rectangle = x² + 16x

Area of Square = (3x-2)(3x-2)
Area of Square = 9x² - 12x + 4

8x² - 28x + 20 = 0

Divide by 4

2x² - 7x + 5 = 0

(2x - 5)(x - 1) = 0

x = 5/2 or x = 1

x therefore = 5/2
4. (Original post by Kyber Ninja)
Area of Rectangle = (x + 16)(x)
Area of Rectangle = x² + 16x

Area of Square = (3x-2)(3x-2)*
Area of Square = 9x² - 12x + 4

x² + 16x - 9x² + 12x + 4 = 16

(For simplicity, I will multiply by -1 now)

-x² - 16x + 9x² - 12x - 4 = -16

8x² - 28x + 12 = 0

Divide by 4

2x² - 7x + 3 = 0

(2x - 1)(x - 3) = 0

x = 1/2 or x = 3

x therefore = 3
The answer is '1 or 2.5.' How?
5. (Original post by BT144)
The answer is '1 or 2.5.' How?
cos hes wrong lmaoaoaoaoaooaoaoaoaoaoao
6. (Original post by BT144)
The answer is '1 or 2.5.' How?
Oo, my bad it's 8x² - 28x + 20 = 0

then you should be able to work your way done from that
7. (Original post by BT144)
The answer is '1 or 2.5.' How?
he did it right but on his 5th line of writing he wrote +4 instead of -4; he didnt change the sign after switching it to the other side
8. (Original post by humayun.h)
he did it right but on his 5th line of writing he wrote +4 instead of -4; he didnt change the sign after switching it to the other side
Thank you, edited for future reference.

Also good spot

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Updated: February 22, 2018
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