If the height of a parallelogram is 4 times more than it’s base, and the area is 221 sq in, what is the base and height?

Base = 13 inches

Height = 17 inches

Step-by-step explanation:

The formula to find the area of a parallelogram = Base × Height

Let's represent Base = B

Height = H

From the question, the height is 4 times more than the Base

Height(H) = B + 4

Area = 221 square inches

Therefore, area of a parallelogram = Base × Height

221 sq in = B ×( B+4)

221 sq in = B² + 4B

B² + 4B - 221 = 0

We would solve the quadratic equation using factorisation method. Hence,

B² + 17B - 13B - 221 = 0

(B²+ 17B) - (13B - 221) = 0

B(B + 17) - 13(B + 17) = 0

(B + 17) (B - 13) = 0

B + 17 = 0

B = - 17

Or

B - 13 = 0

B = 13.

From the above calculation, since B = Base

B = -17 inches Or 13 inches

The base of a parallelogram cannot be negative, hence , The Base of the Parallelogram = 13 inches.

We are told that the height of the Parallelogram is 4 times more than the Base. This was represented but the equation

B + 4 = H

Since B = 13 :

13 + 4 = H

Height(H) = 17 inches.

Therefore, The base of the Parallelogram is 13 inches while the height of the Parallelogram is 17 inches.

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!