Question

A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104 represents the situation, where x represents the width of the rectangle. (x + 5)x = 104 x2 + 5x – 104 = 0

Answer 1

Explanation:

area = length x breadth

length = 5 inches greater than width = 5+x

width = x

area = (5+x) x

104 = (5+x) x

104 = 5x + x²

x²+5x-104 =0

looking for two numbers that when you multiply gives 104, and adding it gives +5

the numbers is 13 and 8 (-13, +5)

x²+5x-13x-104 =0

x(x+5)-13(x+5) = 0

(x+5)(x-13)=0

x+5 =0 x-13 =0

x = -5, x=13

x= -5, 13

the width is either -5 or 13 inches

the length = (5+x) = (5+(-5)) = 5-5 =0

(5+x) = (5+13) = 5+13 = 18

lenth is 0 or 18 inches

Answer 2

Answer: x2 + 5x – 104 = 0 (D)

Explanation:

i got it right on e2020.