Q:

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.

Accepted Solution

A:
Answer:The height of the parallelogram is 2.11 cm. Step-by-step 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 [tex]h=\frac{9.495}{4.5}[/tex]h=2.11 cm Thus, the height of the parallelogram is 2.11 cm.