Question

Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to answer a list of questions.
Part A: For what one value of x are the perimeters of the quadrilaterals the same? (Hint: The perimeter of a quadrilateral is the sum of its sides.)

Part B: For what one value of x are the areas of the quadrilaterals the same? (Hint: The area of a quadrilateral is the product of its base and height.)

Answer 1

Answer:

A) 6+x+4 = 2+3x+4

10+x = 3x+6

10 = 2x+6

4 = 2x

x = 4/2

x = 2

B)

6 * (x+4) = 2 *(3x+4) =

6x+24 = 6x+8

there is no solution for part B

Answer 2

Answer:

For part A I think that the sides are the same because if both of the x+4's just add the 4's to each other and then you may get X. For Part B I believe that if you're adding still then you may still get the same number on both sides.

Step-by-step explanation:

Part A: Add the 2 fours and you may get you're X.

Part B: Add the 3x+4 and you might get your X.

I hope I helped :) and sorry if it's wrong.