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Mathematics 13 Online
OpenStudy (anonymous):

help please!

OpenStudy (anonymous):

@Abhisar

OpenStudy (anonymous):

OpenStudy (anonymous):

@Abhisar

OpenStudy (abhisar):

ok,, to find the area of shade region we will have to divide the region into smaller parts.

OpenStudy (abhisar):

Sit tight cz m gonna draw.

OpenStudy (anonymous):

ok :)

OpenStudy (abhisar):

|dw:1433966233841:dw|

OpenStudy (abhisar):

Can u recognize the figure? It's the shaded area from ur graph.

OpenStudy (anonymous):

ok

OpenStudy (abhisar):

Now we can find the whole area by finding the area of triangle A, rectangle B and rectangle C and adding them all

OpenStudy (abhisar):

ok?

OpenStudy (anonymous):

oko

OpenStudy (abhisar):

Do u know how to find the area of triangle A?

OpenStudy (anonymous):

no

OpenStudy (abhisar):

For a right angled triangle like triangle A, area = \(\sf 0.5 \times base \times height\)

OpenStudy (abhisar):

Can u find area of triangle A now?

OpenStudy (anonymous):

ill try

OpenStudy (anonymous):

whats the base and height

OpenStudy (abhisar):

|dw:1433966849363:dw|

OpenStudy (abhisar):

Got it?

OpenStudy (abhisar):

?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

@Abhisar

OpenStudy (anonymous):

What is the area, in square feet, of the shaded region?

OpenStudy (anonymous):

@Abhisar

OpenStudy (anonymous):

@KendrickLamar2014

OpenStudy (abhisar):

Sorry! I had to leave yesterday. So, to calculate the area of shaded region we divided that region into triangle A, rectangle B and C. Now to calculate the are we will calculate the areas of all the 3 regions one by one and finally sum up them together. Area of Triangle A: Area of a right angled triangle is given by 0.5 * base * height. Here, base of the triangle =8+2=10 (see the figure) and height = 8-2-2=4. \(\therefore\) Area = 0.5 * 4 * 10 =?

OpenStudy (abhisar):

Now area of rectangle = Length * Breadth. Length of Rectangle B and C are 10 and 8 respectively and breadth for rectangle B and C are 1 and 2 respectively. Calculate the area of each of them and finally add area of triangle A, area of rectangle B and C. That would be the area of shaded region.

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