5.75 is the answer.
If you subtract 43.9 FROM 49.65, that's what you get.
Solution:
As, You have Written Polygon ABCD is a rectangle.
It is a Four sided Polygon , having all it's interior angles equal to 90°.As well as Opposite sides are equal(AB=CD,AD=BC), equal diagonals(AC=B D).
Join any of the diagonal of Rectangle either AC or B D.
In Right Δ ABC , Right angled at B
---(1)
In Right Δ ADC , Right angled at D
---(2)
Adding (1) and (2) that is LHS to LHS and RHS to RHS
Ar( Δ ABC) +Ar( Δ ADC)![=\frac{1}{2}\times[ AB \times BC+ AD \times DC]\\\\=\frac{1}{2}[2 \times AB \times BC][\text{As, AB=CD, and BC=AD}]\\\\ = AB \times BC](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%5B%20AB%20%5Ctimes%20BC%2B%20AD%20%5Ctimes%20DC%5D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B2%7D%5B2%20%5Ctimes%20AB%20%5Ctimes%20BC%5D%5B%5Ctext%7BAs%2C%20AB%3DCD%2C%20and%20BC%3DAD%7D%5D%5C%5C%5C%5C%20%3D%20AB%20%5Ctimes%20BC)
So, Area of Rectangle= Product of any two Adjacent Sides
Answer:
Here's what I get
Step-by-step explanation:
a. Write an equation
(8x + 12y)² + (6x + 9y)²= (10x + 15y)²
b. Transform the equation
(i) Remove parentheses
64x² +192xy + 144y² + 36x² + 108xy + 81 y² = 100x² +300xy + 225y²
(ii) Combine like terms.
100 x² + 300xy + 225y² = 100x² +300xy + 225y²
The two sides are the same.
The equation is an identity.