Question

A parallelogram has a base of 4.5 cm and an area of 9.495 cm². Tania wrote the equation 4.5x = 9.495 to represent this situation.

a. Explain what x represents in the equation.
b. Solve the equation for x and determine the height of the parallelogram.

Answer 1

The height of the parallelogram is 2.11 cm.

Explanation:

Area of the parallelogram is equal to multiplication of base and height.

Given:

Parallelogram has base of 4.5 cm.

Are of the parallelogram is 9.495 cm².

Equation is 4.5x=9.495

Calculation:

(a)

Are of the parallelogram is the product of base length and height of the parallelogram.

Area of the parallelogram is expressed as follow:

A=lh

Substitute 9.495 cm² for A and 4.5 cm for l in above equation as follows:

9.495=4.5h …… (1)

Now relate the equation (1) and given equation. So, here x is nothing but the height of the parallelogram.

(b)

From equation (1), height of the parallelogram is calculated as follows:

9.495=4.5h

`h=(9.495)/(4.5)`

h=2.11 cm

Thus, the height of the parallelogram is 2.11 cm.