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Write an expression for the area of the figure. Then evaluate the expression for the given value(s) of the variables.

Write an expression for the area of the figure. Then evaluate the expression for the-example-1
User RaGin RAj
by
8.5k points

1 Answer

5 votes

Answer:

Expression: (4x^2 + x)/2

Area: 75

Explanation:

Given that:

Height, x = 6

Base, 4x + 1

Now let's form an expression for area, but first we need to know the formula for the area of a triangle, which is:

A = BH · 1/2

Where,

B = base

H = Height

Now let's make the expression:

A = BH · 1/2

A = (4x + 1)(x) · 1/2

A = (4x^2 + x) · 1/2

A = (4x^2 + x)/2, is your expression.

Now, let's find the actual area by plugging in the actual values into the expression:

A = (4x^2 + x)/2

A = (4(6)^2 + 6)/2

A = (4(36) + 6)/2

A = (144 + 6)/2
A = (150)/2

A = 75, is your area.

User Quinn Strahl
by
8.6k points

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