SOLUTION: a rectangle has an area of 132 cm ^2 and a perimeter of 56 cm. find the dimensions of the rectangle
Algebra.Com
Question 863487: a rectangle has an area of 132 cm ^2 and a perimeter of 56 cm. find the dimensions of the rectangle
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
let x = a dimension of a rectangle
let y = the dimension of a rectangle at right angle to x
let p = perimeter
let A = area
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Formula for rectangle perimeter:
Formula for area of a rectangle:
Assuming the given variables are p, A, and the unknown variables x and y and these need to be solved,
.
Substitute into perimeter equation;
----- This is only part way to the completed solution.
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Note certain things:
This is a quadratic equation, still in symbolic form;
A formula for x can be solved using the general solution to a quadratic equation;
If you substitute the given values NOW, you will probably learn that the quadratic expression will be factorable;
You still need to solve for y.
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