Question

The diagram shows a rectangle. 0.5 cm 7 cm. Four of these rectangles are put together as shown. Calculate the shaded area

Answer 1

Answer: 42cm squared.

Step-by-step explanation: To find the shaded area, we need to find the total area and then subtract the areas of the 4 small rectangles.

The dimensions of the big rectangle are as follows:

- The length is simply the length of one of the small rectangles: 7

- The width is the length of one of the small rectangles plus the width of two of the smaller rectangles, so: 7 + 0.5 + 0.5 = 8

So, the area of the biggest rectangle is 7 * 8 = 56 cm squared.

Now, we need to find the areas of the 4 smaller rectangles. It's just length times width:

7 * 0.5 = 3.5

Multiply by 4 because there are 4 rectangles:

3.5 * 4 = 14 cm squared.

Finally, the shaded area is 56 - 14 = 42 cm squared.

Answer 2

42 cm squared

Explanation:

To find the shaded area, we need to find the total area and then subtract the areas of the 4 small rectangles.

The dimensions of the big rectangle are as follows:

- The length is simply the length of one of the small rectangles: 7

- The width is the length of one of the small rectangles plus the width of two of the smaller rectangles, so: 7 + 0.5 + 0.5 = 8

So, the area of the biggest rectangle is 7 * 8 = 56 cm squared.

Now, we need to find the areas of the 4 smaller rectangles. It's just length times width:

7 * 0.5 = 3.5

Multiply by 4 because there are 4 rectangles:

3.5 * 4 = 14 cm squared.

Finally, the shaded area is 56 - 14 = 42 cm squared.

Hope this helps!