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The area of the base of a rectangular desk telephone is 754 square centimeters. The length of the rectangular telephone is 3 centimeters longer than its width.
​(a) What are the length and​ width, in​ centimeters, of the desk​ telephone?
​(b) What are the length and​ width, in​ millimeters, of the desk​ telephone

Respuesta :

musiclover10045

Area is found by multiplying the length by the width.

Let X = width.

The length is x +3 ( 3 cm longer than the width).

Now you have area = x * x+3

Area is given as 754 square cm.

754 = x * x+3

Simplify:

754 = x^2 +3x

Subtract 754 from both sides:

x^2 +3x - 754 = 0

Factor:

(x -26) (x+29)

Solve for x:

x = 26 and -29.

Since the dimension cannot be negative, x = 26.

The width = 26 cm.

The length = 26 +3 = 29 cm.

Multiply each dimension by 100 to get millimeters:

Width = 260 mm

Length = 290 mm

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