Question

1. a piece of cardboard is cut in an l - shape as shown below. find the total area of the cardboard. 9 cm 6 cm 2 cm

Explanation:

Step1: Divide the L - shape into two rectangles

We can divide the L - shaped cardboard into a vertical rectangle and a horizontal rectangle. The vertical rectangle has a height of 9 cm and a width of (9 - 2)=7 cm. The horizontal rectangle has a length of 6 cm and a width of 2 cm.

Step2: Calculate the area of the vertical rectangle

The area formula for a rectangle is $A = lw$. For the vertical rectangle, $l = 9$ cm and $w = 7$ cm. So $A_1=9\times7 = 63$ $cm^2$.

Step3: Calculate the area of the horizontal rectangle

For the horizontal rectangle with $l = 6$ cm and $w = 2$ cm, using the area formula $A = lw$, we get $A_2=6\times2=12$ $cm^2$.

Step4: Calculate the total area

The total area $A$ of the L - shaped cardboard is the sum of the areas of the two rectangles, $A=A_1 + A_2$. So $A=63 + 12=75$ $cm^2$.

Answer:

$75$ $cm^2$