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John painted his most famous​ work, in his​ country, in 1930 on composition board with perimeter 107.81 in. If the rectangular painting is 5.65 in. taller than it is​ wide, find the dimensions of the painting.

Sagot :

Answer:

Step-by-step explanation:

let x and y be the side lengths of the rectangle

y = x + 5.65

2x + 2y = 107.81

2x + 2(x + 5.65) = 107.81

2x + 2x + 11.30 = 107.81

4x = 96.51

x = 24.1275 in

y = 24.1275 + 5.65 = 29.7775 in

very difficult to measure to that precision.

difficult to measure to the reported precision of the perimeter, especially when measuring something as uneven as composition board.