Area And Perimeter Compound Shapes

Marking, a math enthusiast, loves writing tutorials for stumped students and those who need to brush upwards on their math skills.

Finding the Area of a Compound Shape

A chemical compound shape is a shape that is made up of other simple shapes. In this article, nosotros volition exist working out the area of an L shape (made up of two rectangles). To find the area of a compound shape, follow these simple steps:

Step ane: Work out the missing lengths around the edge of the chemical compound shape.

Step ii: Split your L shape into two rectangles. This can be done in ii different means (both methods will requite the aforementioned answer).

Step 3: Work out the area of each rectangle. Do this by multiplying the base of operations of the rectangle past the pinnacle of the rectangle.

Step 4: Add together the areas of the rectangles together to give the full surface area of the L shape.

Case i

Find the area of this chemical compound shape (L shape).

Step ane

Work out the missing lengths effectually the edge of the compound shape.

ten – six = four cm

9 – ii = 7 cm

Pace two

Divide your 50 shape into two rectangles.

Scroll to Continue

Questions & Answers

Question: How exercise you know which sides to multiply on the L shape?

Reply: It must be the length and width of the rectangle (these are the two side lengths which brand the rectangle).

Question: How exercise you work out the volume of a prism from calculating the area of an L shape?

Answer: Once you have calculated the cross-exclusive area of the prism, multiply the answer by the length of the prism.

So for case, if the cross-sectional surface area of the Fifty shape was fifty cm^ii and the length 3cm, then the book of the L shape would be 150 cm^iii (50 multiplied by iii).

Question: How do you know which measurements you are meant to multiply to find the area of a complex shape?

Respond: Y'all multiply the two side lengths of each rectangle together (Base of operations multiplied past Height).

Question: How exercise you find the area of a frame?

Reply: Work out the surface area of the inner and outer rectangles, and so find the departure between these area.

Assuming that the frame is rectangular.

Question: How do y'all know you lot have to put the line horizontal not vertical when finding the area of an L-shape?

Answer: Y'all tin separate the compound shape up either fashion.

Both means volition result in the right surface area.

Question: How exercise you know which numbers to add and which numbers to decrease when finding the area of an L-shape?

Answer: If the length your finding is longer than the two other sides then add them, if not subtract them.

Question: What if I need to find the area of something that is not L-shaped?

Answer: Other shapes tin can exist split into rectangles too. T and H shapes are as well common exam questions.

Question: How do yous know where to draw the line in order to have two rectangles?

Answer: It can be horizontal or vertical, equally long equally information technology makes 2 rectangles.

Question: How practice I notice the perimeter of an L shape?

Answer: Once you have worked out all of the sides lengths, then yous can add together all these upward to give the perimeter of the Fifty shape.

Question: Is it only an 50 shape that can be used for chemical compound shape?

Answer: No, it can be other shapes too, such equally a T shape, or a H shape.

Question: How do you calculate perimeter?

Answer: The perimeter can be found by adding upwardly all the side lengths around the L shape.

Question: How do you find the surface area if the shape has a one-half circumvolve conected to it?

Answer: I think you hateful a shape which can be split into a rectangle (or square) and a semi-circle.

Piece of work out the surface area of the rectangle using length times width, and work out the area of the semi-circumvolve using 0.v times Pi times radius squared. Then add these two answers together.

Question: What does finding the area of the smaller shapes of an L shape help with?

Answer: Area helps you lot work out the space inside a shape.

It can be useful in existent life for working out how much carpet y'all need to fit a floor space, or how much gravel y'all need to make full a garden.

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