Answer:
x = 3, y = 6
Step-by-step explanation:
In the figure attached,
If ΔADE and ΔABC are similar triangles, their corresponding sides will be in the same ratio.
By this property,
![\frac{AB}{AD}=\frac{AC}{AE}=\frac{BC}{DE}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BAD%7D%3D%5Cfrac%7BAC%7D%7BAE%7D%3D%5Cfrac%7BBC%7D%7BDE%7D)
![\frac{AB}{AD}=\frac{AC}{AE}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BAD%7D%3D%5Cfrac%7BAC%7D%7BAE%7D)
![\frac{AD+BD}{AD}=\frac{AE+EC}{AE}](https://tex.z-dn.net/?f=%5Cfrac%7BAD%2BBD%7D%7BAD%7D%3D%5Cfrac%7BAE%2BEC%7D%7BAE%7D)
![\frac{3}{2}=\frac{x+1.5}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%3D%5Cfrac%7Bx%2B1.5%7D%7Bx%7D)
3x = 2x + 3
3x - 2x = 3
x = 3
Similarly, ![\frac{AB}{AD}=\frac{BC}{DE}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BAD%7D%3D%5Cfrac%7BBC%7D%7BDE%7D)
![\frac{3}{2}=\frac{y}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%3D%5Cfrac%7By%7D%7B4%7D)
y = ![\frac{3\times 4}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5Ctimes%204%7D%7B2%7D)
y = 6
Answer:
2+2=4+3=7+6=13+8=16+5=21+9=30-8=22+4=26
Base of parallelogram b = 24.5 cm
Step-by-step explanation:
We are given:
Perimeter =P= 63 cm^2
Slant Height =a= 7 cm
Base of Parallelogram =b= ?
The formula used is:
![Perimeter = 2(a+b)](https://tex.z-dn.net/?f=Perimeter%20%3D%202%28a%2Bb%29)
where a is height and b is base
Putting values:
![Perimeter = 2(a+b)\\63=2(7+b)\\63=14+2b\\2b=63-14\\2b=49\\b=\frac{49}{2}\\b=24.5](https://tex.z-dn.net/?f=Perimeter%20%3D%202%28a%2Bb%29%5C%5C63%3D2%287%2Bb%29%5C%5C63%3D14%2B2b%5C%5C2b%3D63-14%5C%5C2b%3D49%5C%5Cb%3D%5Cfrac%7B49%7D%7B2%7D%5C%5Cb%3D24.5)
So, Base of parallelogram b = 24.5 cm
Keywords: Perimeter of Parallelogram
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