Four identical strips in the form of right isosceles triangles are removed from the four corners of a square sheet of side 8 cm. Find the area of the remaining sheet, if the length of each, equal sides of the triangles is 4 cm,

Answer

32 sq.cm

Explanation

Side of the square sheet `=8 cm`
`Area of the square `=s^2=64sq.cm`
Side of the isosceles triangel, `(a)=4cm`
Area of the isosceles triangle `=(1)/(2)a^2`
`=(1)/(2)xx4xx4`
`=8sq.cm`
Area of the remaining paper.
= Area of the square `-4xx` Area of the isosceles triangle
`=64-4(8)=64-32`
`=32 sq.cm`