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Mathematics 8 Online
OpenStudy (sbuck98):

Someone please help me with areas of shapes on a grid, I really need to be able to graduate, all the rest of my grades in other subjects are great.

OpenStudy (sbuck98):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

see attached for a hint

jimthompson5910 (jim_thompson5910):

let me know if that helps or not

OpenStudy (sbuck98):

20?

OpenStudy (sbuck98):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

The area of the overall red rectangle (biggest red rectangle that surrounds the whole triangle) is 20 but you want the area of the triangle in light blue

OpenStudy (sbuck98):

I'm not sure how to do that at alll, could you please help?

jimthompson5910 (jim_thompson5910):

step 1) find the area of the biggest red rectangle, that would be 20 square units step 2) subtract off the areas of region A, region B, region C, region D. See attached

OpenStudy (sbuck98):

4

jimthompson5910 (jim_thompson5910):

what's the area of region A?

OpenStudy (sbuck98):

9

jimthompson5910 (jim_thompson5910):

how are you getting 9?

OpenStudy (sbuck98):

9 full blocks

jimthompson5910 (jim_thompson5910):

do you see how region A is a triangle? use the area of a triangle formula

OpenStudy (sbuck98):

I don't know any of this, at all

jimthompson5910 (jim_thompson5910):

area of triangle = base*height/2

OpenStudy (sbuck98):

4*4/2=8

jimthompson5910 (jim_thompson5910):

the base is 5, not 4

OpenStudy (sbuck98):

5*4/2 10

OpenStudy (jchick):

Do you know the distance formula?

jimthompson5910 (jim_thompson5910):

area of region A = 10 square units correct

jimthompson5910 (jim_thompson5910):

do the same for region B and tell me what you get

OpenStudy (sbuck98):

3*1/2=1.5

OpenStudy (jchick):

@jim_thompson5910 the distance formula is a very standard way to solve this. Simply put numbers on the graph and it will be more accurate and quicker/easier.

jimthompson5910 (jim_thompson5910):

@sbuck98 you made an error, try again you're miscounting the units along the base for region B

OpenStudy (sbuck98):

I don't get this:(((((((

jimthompson5910 (jim_thompson5910):

@jchick yes you could find the lengths of the sides then use Heron's formula but that takes much longer

jimthompson5910 (jim_thompson5910):

region B has a base of 4. Do you see why?

jimthompson5910 (jim_thompson5910):

start at the corner and count 4 units til you get to the tip of the triangle

OpenStudy (jchick):

Correct @jim_thompson5910 but as you probably will agree that the more time you spend the more likely it is to be correct.

OpenStudy (sbuck98):

@jim_thompson5910 why'd you just leave?

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