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A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104 represents the situation, where x represents the width of the rectangle.
The first step in solving by factoring is to write the equation in standard form, setting one side equal to zero. What is the equation for the situation, written in standard form?

A x2 – 99 = 0
B x2 – 99x = 0
C x2 + 5x + 104 = 0
D x2 + 5x – 104 = 0

Answer :

bartdrinksmalk
[tex](x+5)x=104[/tex]
[tex]\rightarrow x^{2}+5x=104[/tex]
[tex]\rightarrow x^{2}+5x-104=0[/tex]
which is choice D
Lanuel

The quadratic equation for the word problem, written in standard form is equal to: D. x² + 5x - 104 = 0.

Given the following data:

L = (W + 5) inches.

Area = 104 square inches.

Note: Let the width be x.

How to calculate the area.

Mathematically, the area of a rectangle is calculated by using this formula:

LW = A

(x + 5)x = 104

x² + 5x = 104

x² + 5x - 104 = 0

In Mathematics, the standard form of a quadratic equation is given by ax² + bx + c = 0  ⇔  x² + 5x - 104 = 0.

Read more on quadratic equation here: brainly.com/question/1214333

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