To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.
The dimensions are 8 ft x 8 ft.
The total area is 64 sq ft.
The dimensions of a single tile are 2 1/2 x 1 1/2
X^4 - 5x^2 - 36 = 0
(x^2 - 9)(x^2 + 4) = 0 - factor the left side
(x + 3)(x - 3)(x^2 + 4) = 0 - factor (x^2 - 9 as difference of squares)
x + 3 = 0 x - 3 = 0 x^2 + 4 = 0 Set each factor to 0 if any 0 the left side 0
x = -3 x = 3 x^2 = -4
x = 2i or -2i
The roots are 3, -3, 2i, -2i (Don't know if you need the imaginary roots but I gave you them anyway)
Interest on the amount is Rs 2000.
Step-by-step explanation:
- Step 1: Given principal amount = Rs 4000 and amount = Rs 6000
- Step 2: Formula for Amount, A = Principal, P + Interest, I
⇒ 6000 = 4000 + I
⇒ I = 6000 - 4000 = Rs 2000
