Maths-
General
Easy

Question

Divide the remaining figure into two rectangles. What is the total area of the remaining figure (pink shaded area)? How does it represent the difference of squares?

Hint:

A square has all its sides equal whereas a rectangle has its opposite sides equal.

The correct answer is: x2 - y2 unit2


    When we divide the red shaded area into two equal rectangles, it can be shown as


    The dimension of each rectangle is y cross times y over 2
    Area of pink shaded region = Area of square of side x - Area of square of side y

    = x2 - y2 unit2
    As we have found the area of pink shaded region by finding the difference between the area of two squares. So, the area of pink shaded region represents the difference of squares.
    Final Answer:
    Hence, we have divided the remaining figure into two rectangles and the area of pink shaded region is   x2 - y2 unit2.

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.