Area The amount of space inside the boundary of a two- dimensional shape. Perimeter The distance around a two- dimensional shape.

The area of a rectangle is determined by multiplying the length times the width. A= L X W Determine the area of the rectangle below. To do this, you need to multiply the length (9m) by the width (2m). Your areas should be 18m.

Remember the formula for area: L x W. You need to multiply the length (10) by the width (5). The area should be 50.

The picture to the right shows my backyard. However, I have a pond in the middle of my yard. What is the area of grass I have in my backyard. First, lets find the area of the orange space (grass). A= 8 x15. A=120. Next, we need to find the area of my pond. A=5 x5. A=25. Finally, we need to subtract the area of my pond from the total area of my backyard = 95. I have 95 units of grass space in my backyard.

To the right, we have a compound L shape. Using the dotted lines, we can cut the shape into two separate rectangles to find the total area of the compound shape. We will find the area of each rectangle and add both areas together to get the total area for the compound shape.

Let’s focus on the top rectangle. A1= 2cm X 5cm A1=10 cm Now, we will find the area of the bottom rectangle. A2= 10cm x 4cm A2= 40cm Finally, we need to add the two areas together to get the total area of our compound shape. A= 10cm + 40 cm A= 50cm

Once again, we have a compound shape on the left side. The dotted line shows where we can break the compound shape into two separate rectangles. The right side of the picture actually breaks the rectangles apart for us. Now we have a rectangle with an area of 6cm x 4cm= 24cm, and another rectangle with an area of 3cm x 2cm= 6cm. We can now calculate the total area of the original compound shape. A= 24cm+6cm=30cm²

The perimeter of a rectangle is determined by adding up all of the sides of a given rectangle. P= L+W+L+W Determine the perimeter of the rectangle below. Add up each side of the rectangle ( ). The perimeter should equal 32 inches.

First, we need to determine the lengths of the missing sides. A rectangle has 2 sets of congruent sides. Therefore, the left side should be labeled 5 and the bottom side should be labeled 8. Now add up each side of the rectangle. Perimeter =26

To find the perimeter we need to add up each side; however, we must first determine the lengths of X and Y. Observations: If we extend X across the shape, we see that the bottom length must equal X +8 m. Y must be the difference between 15m and 5m.

Find the value of X: We know X+ 8m = 20m Let’s work the inverse to determine the value of X. 20m – 8m = X X= 12m Plug your answer back into the original equation to check your work. 12m + 8m = 20m – Correct!

Find the value of Y: We know Y+ 5 m = 15m Again, we will use the inverse property to determine the value of Y. 15m – 5m = 10m Plug your answer into the original equation to check your work. 10m + 5m = 15m Your answer is correct! Now add up each side of the compound shape: 15m+8m+5m+12m+10m+20m= P The perimeter = 70m