## twilaswift Group Title 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. one year ago one year ago

1. bloodrain Group Title

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

2. bloodrain Group Title

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

3. bloodrain Group Title

u understanding this?

4. twilaswift Group Title

A little bit.

5. bloodrain Group Title

ok what do you NOT understand then?

6. twilaswift Group Title

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

7. bloodrain Group Title

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 Group Title

now do the algebra to figure out b

9. bloodrain Group Title

10. twilaswift Group Title

So I divided 40 by what? 2?

11. bloodrain Group Title

not sure just a moment

12. twilaswift Group Title

ok

13. bloodrain Group Title

no im wrong let me try again

14. twilaswift Group Title

ok

15. bloodrain Group Title

i have to go someone help please @ParthKohli

16. twilaswift Group Title

OK

17. twilaswift Group Title

40x2 = 80

18. twilaswift Group Title

so the base is 80 right?

19. bloodrain Group Title

i think so but not sure