Question

the area of a rectangular carpet is 120m² and it's perimeter is 46 m. the length of its diagonal is what??

Answer 1

Answer:

Step-by-step explanation:

The area of rectangular = x*y = length* wide

So 120 = x*y

Then x = 120/y

And perimeter = 2(x+y)

So 46 = 2(x+y)

Then 46/2 = (120/y + y)

Multiplying by y so

Y2 - 23 y + 120 = 0

So ( y-15 ) ( y-8 ) = 0

So Y = 15 or 8 and X = 8 at Y = 15

Also X = 15 at Y = 8

So diagonal = √(Y^2 + X^2 ) = 17

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