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

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