Question

A rectangle with a lenght of 6cm has the same area as a square with side length 18cm. what is the perimeter, in cm , of the triangle

pls help
thank you, have a nice day!

Answer 1

First, we know the area of a square is side length side length = Area. For this square, the area would be:

18*18=A

324 = A

Now that we know the area that is being referened, we can look at the formula for the area of a rectangle, which is width * length = Area. We know the length and we know the area, so we can fill in these known values and solve for the unknown width.

w*l = A

w*6=324

w=324/6

w=54

So our rectangle has the width of 54 and the length of 6. Lastly, the formula for perimeter is 2w + 2l = P. We can again fill in our knowns and solve for the unknown.

2(54) + 2(6) = P

108 + 12 = P

120 = P

The perimeter of the rectangle is 120 cm.