Answer:
The dimensions of the original rectangle are Length =12cm, Width=8cm
Step-by-step explanation:
Let the length of the rectangle be x
Let the width of the rectangle be y
The perimeter of a rectangle is 40cm.
2(x+y)=40
Divide both sides by 2
x+y=20
If the length were doubled(2x) and the width halved(y/2), the perimeter would be increased by 16cm,i.e.(40+16)cm
Therefore:
Divide both sides by 2
From the first equation, x=20-y.
Substitute x=20-y into
Solution:
<u>Note that:</u>
- Triangle = 180°
- 5x + 130 + 3x + 2 = 180
<u>Simplify the equation to find x.</u>
- 5x + 130 + 3x + 2 = 180
- => 8x + 130 + 2 = 180
- => 8x + 2 = 180 - 130
- => 8x = 50 - 2
- => 8x = 48
- => x = 48/8 = 6
The value of x is 6.
Answer: x<6
Step-by-step explanation: