Question

A rectangle is twice as long as it is wide. If its area is 50 sq. yd., find the length.

Answer 1

You know that area = Length times Width

You know Length = 2 times Width so

L = 2W

So putting everything in

50 = L x W

*replacing L with 2W like we found

50 = 2W x W

50 = 2W²

So divide both sides by 2 here...what do you have?

Answer 2

So basically we divide it by two

Answer 3

At this point you divide

50 = 2W² by 2 yes

After that what will you have?

Answer 4

25 right?

Answer 5

Right

50 = 2W²
---------
2 2

W² = 25

so what number squared = 25?

Answer 6

5 ?

Answer 7

Right....this means

W = 5

Width = 5

So now that you know width...and you know Length = 2 times the width....what does the length equal...?

Answer 8

10?

Answer 9

Perfect...so we have

Length = 10 and Width = 5....lets check if this is correct...

Area = Length x Width
50 = 10 x 5

is this a correct statement?