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A United States flag is sometimes folded into a triangle shape and displayed in a triangular display case. If a display case has dimensions shown in inches, write a polynomial expression that represents the area of wall space covered by the display case.

A United States flag is sometimes folded into a triangle shape and displayed in a triangular display case If a display case has dimensions shown in inches write class=

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thishigopal

Step-by-step explanation:

area of ∆ = .5*b*h

b= x+5

h= x-5/2

let's do (x+5) * (x-5/2)

x^2+5x-5/2x-25/2

x^2+5/2x-25/2

area = .5x^2+5/4x-25/4

anuksha0456

The polynomial expression that represents the area of wall space covered by the display case is (1/2)x² + (5/4)x - 25/4.

What do we mean by a Polynomial expression?

A polynomial is a mathematical expression made up of two or more algebraic terms that have been added, subtracted, or multiplied (no division). Polynomial expressions generally comprise at least one variable, as well as constants and non-negative exponents.

How do we calculate the area of a triangle?

The area of a triangle is calculated using the formula: (1/2)*base*height.

How do we solve the given question?

We find the area of the triangle-shaped display case. We can see the base of this triangle is x+5 and its height is x - 5/2.

∴ Area of the display case = (1/2)*(x+5)*(x-5/2)

or, area = (1/2)*(x+5)*(2x-5)/2

or, area = (1/4)(2x² + 5x - 25)

or, area = (1/2)x² + (5/4)x - 25/4.

∴ The polynomial expression that represents the area of wall space covered by the display case is (1/2)x² + (5/4)x - 25/4.

Learn more about polynomials and areas of triangles at

https://brainly.com/question/2833285

https://brainly.com/question/17335144

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