A person has a rectangular board 12 inches by 16 inches around which she wants to put a uniform border of shells. If she has enough shells for a border whose area is 380 square inches, determine the width of the border.
Accepted Solution
A:
Answer:so width of border is 10 inchesStep-by-step explanation:Given data board size = 12 * 16 inchesborder area = 380 square inchesto find out width of bordersolutionlet us assume width of border is xfirst we find area of board i.e. 12 × 16 = 192 sq inchesand border area is given = 380 square inchesso total area of border and board is 192 + 380 = 572 sq inchesso we can say ( x+ 12 ) (x +16 ) = 572solve this equation we get x² +16x + 12x + 192 = 572x² + 28x + 192 = 572x² + 28x - 380 = 0solve this equation and we get two value of x i.e.x = 10 and x = -38we will consider positive value here so width of border is 10 inches