## twilaswift 2 years ago A rectangle that is 8 inches long and 5 inches wide has the same area as a triangle that is 2 inches high. What is the base of the triangle? Show and explain each step to find the answer.

1. bloodrain

The area of the rectangle $8*5=40$ Equation for area of a triangle $A=\frac{ 1 }{ 2 }bh$

2. bloodrain

So a triangle with the same area as the rectangle must be twice the base and height as a rectangle

3. bloodrain

u understanding this?

4. twilaswift

A little bit.

5. bloodrain

ok what do you NOT understand then?

6. twilaswift

The base of the triangle. Do I need to add or multiply or anything for it?

7. bloodrain

well if you already know the height (2) and area (half the area of the rectangle or 20in) you can figure out the base of the triangle by first multiplying the area by 2 (40) and then dividing it by the height (2) here are all the steps from beginning to end: for the rectangle $A=bh$ $A=8*5$ $A=40$ for the triangle $A=\frac{ 1 }{ 2 }bh$ $40=\frac{ 1 }{ 2 }b2$

8. bloodrain

now do the algebra to figure out b

9. bloodrain

10. twilaswift

So I divided 40 by what? 2?

11. bloodrain

not sure just a moment

12. twilaswift

ok

13. bloodrain

no im wrong let me try again

14. twilaswift

ok

15. bloodrain

i have to go someone help please @ParthKohli

16. twilaswift

OK

17. twilaswift

40x2 = 80

18. twilaswift

so the base is 80 right?

19. bloodrain

i think so but not sure