Question

The diagram shows a rectangle.

10.5 cm
Not drawn accurately
7 cm
Four of these rectangles are put together as shown.
Not drawn accurately
Calculate the shaded area.

Answer 1

To solve this we calcuclate the total are then we subtract the 4 rectangles area

total area = length × width =10.5 × 10.5 = 110.25 cm²

the rectangles drawn accurately = 2(.5 × 7)

7 cm²

the rectangles drawn not accurately 2(.5 × 10.5)

= 10.5 cm²

so the shaded area = 110.25 - 7 - 10.5 = 92.75 cm²

Answer 2

42 cm²

Explanation:

We can see that the length of the blue rectangle is the same as the length of the smaller rectangle = 7 cm.

To calculate the width of the blue rectangle, we take the length of the smaller rectangle (7 cm) and substract two of the width (0.5 cm) of the smaller rectangle:

7 - (2 x 0.5) = 6 cm

Now we have the length and width of the blue rectangle.

Are of blue rectangle = l x w = 7 x 6 = 42 cm²