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

42 cm 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.

Hope this helps!

15 true/false questions and 5 multiple choice questions

Steps:

Use a system of equations

Solve using the elimination method

x+y=20
3x+11y=100

Multiply the first equation by 3 to make the coefficients of x in both equations the same.

3(x+y=20)

3x+3y=60

Next subtract this equation from the second one.

3x+3y=60
- 3x+11y=100
————————
-8y=-40

Divide both sides by -8 to find the bailie of y.

y=5 So there were 5 multiple choice questions on the test.

Next, replace the y in either equation to solve for x.

x+(5)=20

Subtract 5 from both sides to find the value of x

x=15