Question

What is the area of a square with sides of lengths 2x+1 and x+2?

(A) 1
(B) 9
(C) 16
(D) 25
(E) It cannot be determined from the information given.

Answer 1

all sides of a square are equal so

2x + 1 = x +2

solve for x

Answer 2

3

Answer 3

not quite,

2x + 1 = x + 2

subtract x from each side first, what do we get?

Answer 4

x+1=2

Answer 5

right, now subtract 1 from each side

Answer 6

x=1

Answer 7

yes

Answer 8

good, so x = 1

now, we know that one of the sides is x+2

if x = 1, then (x+2)^2 = ?

Answer 9

now plug in one into X

Answer 10

(2(1)+1)(1+2)

Answer 11

(2+1)(1+2) = (3)(3) = A

Answer 12

9

Answer 13

Correct!

Answer 14

9[B]