MATH SOLVE

3 months ago

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.