Name: Area of Closed Figures
Uploaded: 2019-07-19
Duration: 4 min 33 s
Description: The pizza is circular, its box is square, and it's cut into triangles! This wouldn't be possible without area calculations. Let's learn to calculate the area...

Question

Draw two straight lines in this rectangle to divide it into one rectangle and two equal triangles. What is the area of the rectangle $?$ What is the area of each of the triangles $?$ (consider area of one small square is equal to $1 square cm$ )

Accepted Answer

The given rectangle is divided into one rectangle and two equal triangles by drawing $2$ lines as shown below.

We will consider a square as complete if it is more than half-filled, and will ignore a square if it is less than half-filled.

Thus, in the red shaded region, we have $2$ completely filled squares and $2$ squares that are more than half-filled.

Thus, the area of red triangle $= 4 s q u a r e c m$

Similarly, the area of green triangle $= 4 s q u a r e c m$

Now, the area of remaining portion i.e. the rectangle contains $12$ completely filled squares.

Thus, the area of rectangle $= 12 s q u a r e c m$ .

Area of each of the triangle is $4 s q u a r e c m .$

Hence, the area of rectangle is $12 square cm$ and area of each triangle is $4 square cm$ picture i.e given above.

(Note: Answer may vary from student to student depends on how they drew two lines)

Draw two straight lines in this rectangle to divide it into one rectangle and two equal triangles. What is the area of the rectangle $?$ What is the area of each of the triangles $?$ (consider area of one small square is equal to $1 square cm$ )

Important Questions on How Many Squares?

Learn and Prepare for any exam you want !

Draw two straight lines in this rectangle to divide it into one rectangle and two equal triangles. What is the area of the rectangle? What is the area of each of the triangles?(consider area of one small square is equal to 1 square cm)

Important Questions on How Many Squares?

Learn and Prepare for any exam you want !

Draw two straight lines in this rectangle to divide it into one rectangle and two equal triangles. What is the area of the rectangle $?$ What is the area of each of the triangles $?$ (consider area of one small square is equal to $1 square cm$ )