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Literal Equations Applications in Geometry

- 1.6
- SSC 105

Application Involving Perimeter

The length of a room is 4 feet more than its

width. If the perimeter of the room is 120 feet,

find the dimensions of the room.

Let x width

So the length would be x 4

x x x 4 x 4 120

2 widths

2 lengths

Solve !

Application Involving Angles

- Two angles are supplementary, and the measure of

one is 16º less than 3 times the other. Find

their measures.

(first angle) (second angle) 180

1st angle X 2nd angle 3x - 16

Answer The angles are 49º and 131º.

Literal Equations

Literal equations (or formulas) are equations

that contain several variables. For example,

the formula for the

perimeter of a rectangle is an example of a

literal equation. In this equation, P is

expressed in terms of L and W. However, in

science and other branches of applied

mathematics, formulas may be more useful in

alternative forms. For example, the formula can

be manipulated to solve for either L or W.

Solving Literal Equations

- To solve literal equations for a specified

variable, use the same properties as you would

for linear equations in one variable.

More examples

reduce

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