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a rectangular carpet has a permiter of 208 inches. the length of the carpet is 84 inches more than the width. find the length and width of the rectangle and add them together

Sagot :

Answer:

104 inches

Step-by-step explanation:

perimeter = 2*width + 2*length

length = width + 84

perimeter = 208 = 2*width + 2*(width+84) = 2*width + 2*width +2*84

208 = 2*width + 2*width + 2*84

208 = 4*width + 168

subtract 168 from both sides to isolate the width and coefficient

40 = 4*width

divide both sides by 4 to get width

width = 10

length = width+84 = 94

length and width added together = 10+94 = 104