Tuesday, May 12, 2015

How many inches are in the perimeter of the U-shaped figure?


The U shaped figure at the right contains 11 squares of same size. The area of the U-shaped figure is 176 square inches. How many inches are in the perimeter of the U-shaped figure?



Area of 11 squares = 176 sq inch
Area of 1 square = 176/11 = 16 sq inch

Area of a square = square of its side
=> Side of the square = \(\sqrt{16}\) = 4 inches



Outside- Perimeter of the figure = 4*4+5*4+4*4+2*4 = 60
Inside - Perimeter of the figure = 3*4+3*4+3*4= 36

Perimeter of the U shaped figure = 60+36 = 96 inches

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