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!

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is