A rectangle has dimensions of 12x8inches. If a uniform border is added, then the new rectangle has twice the area of the old rectangle.

Question

a) Find the width of the border
b) find the new dimensions of the rectangle

Answer 1

Call the border width w. The bordered rectangle dimensions are (12+w) x (8+w)
Solve the equation
(12+w)(8+w)= 2*12*8 = 192
96 + 20w + w^2 = 192
w^2 + 20w - 96 = 0
(w+24)(w-4) = 0
w = 4 or -24
Take the positive root for w. Add it to the length and the width for the new dimensions.

Answer 2

x2=y*985-546y
=g435
=*
(x)76787

Answer 3

sample