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Charlie measured his room and found that it was 10 1/2 feet in length and 7 1/4 feet wide. His brother's room has the same width, but its length is 4/5 the length of Charlie's room. What is the length of Charlie's brother's room. What is the area of Charlie's brother's room?

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Spymore

Answer:

Length of Charlie's brother's room  = 8 2/5 feet

Area of Charlie's brother's room  = 60 9/10 feet²

Step-by-step explanation:

Width Charlie's room = 7 1/4 = (7 x 4 +1)/4 = 29/4  feet

Length Charlie's room =  10 1/2 = (10 x 2 +1)/2 = 21/2 feet

Length brother's room = 4/5 x 21/2 = (4 x 21)/(5 x 2) = 84/10 = 8 2/5 feet

Area = Length x Width = (42/5 x 29/4) feet² = 1218/20 feet² = 60 9/10 feet²

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