MATH SOLVE

3 months ago

Q:
# ANSWER QUICKLY PLEASE. WILL BE AWARDED BRAINLIEST ANSWERThe 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

Accepted Solution

A:

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+3Area is given as 754 square cm.754 = x * x+3Simplify:754 = x^2 +3xSubtract 754 from both sides:x^2 +3x - 754 = 0Factor:(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 mmLength = 290 mm