Question

In a parallelogram, the base is thrice the length of the altitude. Its area is 192 cm? Find the length of the base and altitude .​

Answer 1

Answer:

Altitude = 8cm

Base = 24cm

Step-by-step explanation:

So, in these questions, we try to make an equation out of the given information.

Since the question said that Base is thrice the length of the altitude, it means the base is 3 times of what the length of altitude is.

Hence, we'll consider the altitude as x and base as 3x.

The formula for the Area of Parallelogram is

Base * Altitude

So, we'll make an equation out of it.

Area of Parallelogram = Base * Altitude

192 = 3x * x

Now let's simplify RHS first.

192 = 3x^2

You may check the attachment for clarity.

We can also say that 3x^2 can be written as 3 * x^2

So, since 3 is multiplied in RHS, it will get transposed to LHS and gets divided by 192.

192/3 = x^2

Now let's simplify LHS.

192/3 = 64

64 = x^2

Now, to find the value of x, we have to find the square root of 64, which is 8. Therefore x = 8

Now that we know the value of x, we can easily find the value of Altitude and Base.

Altitude = x = 8cm

Base = 3x = 3*8 = 24cm

I hope this helps you!!