Question

what is the missing length?
area of shaded region = 1920 cm²
v = centimeters
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work it out
not feeling ready yet? these can help:
area of rectangles and squares (100)
lesson area of triangles
lesson area of

Explanation:

Step1: Recall the formula for the area of a triangle

The area formula for a triangle is $A=\frac{1}{2}\times base\times height$. Here, the base is $48$ cm and the area $A = 1920$ cm², and the height is $v$.

Step2: Solve the formula for $v$

Starting with $A=\frac{1}{2}\times base\times height$, we can substitute the known values: $1920=\frac{1}{2}\times48\times v$.
First, simplify the right - hand side: $\frac{1}{2}\times48 = 24$. So the equation becomes $1920 = 24v$.
Then, solve for $v$ by dividing both sides of the equation by $24$: $v=\frac{1920}{24}$.
Calculate $\frac{1920}{24}=80$.

Answer:

$80$