Question

PLEASE I NEED HELP!!!

Answer 1

A. The perimeter of quadrilaterals are same when x=2.

B. The area of quadrilaterals are same when x=4.6

Step-by-step explanation:

A. Perimeter of the quadrilaterals must be equal.

• Perimeter of square is 4a.
• where, a = 6
• Perimeter of rectangle is 2(l+b).
• where, l = 2 and b = (3x+4)

Perimeter of square = Perimeter of rectangle

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

⇒ 24 = 2(3x+6)

⇒ 24 = 6x + 12

⇒ 6x = 12

⇒ x = 12/6

x = 2

For x=2, the perimeters of both the quadrilaterals are same.

B. Area of the quadrilaterals must be equal.

• Area of square is a².
• where, a = 6.
• Area of rectangle is l$\times$b.
• where, l = 2 and b = (3x+4)

Area of square = Area of rectangle

(6)² = 2(3x+4)

36 = 6x+8

6x = 28

x = 28/6

x = 4.6

For x=4.6, the area of both the quadrilaterals are same.