Question

A rectangular table with sides in the ratio 3:5 has a perimeter equal to 240 inches. What is the area of the table in square inches?

Answer 1

see the pic

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Answer 2

The area of the table is 3375 inch².

Given data :

Ratio of the rectangular table's length and breadth = 3:5

Perimeter of the table = 240 inch²

So,the breadth and length of the table are = 5x and 3x (x=variable)

Perimeter = 2× (5x+3x) = 2×8x = 16x inch

So,

16x = 240

x = 240/16

x = 15

So, length of the table = (5×15) = 75 inch

Breadth of the table = (3×15) = 45 inch

Area of the table = (75×45) = 3375 inch² (answer)