Answer:
The answer to your question is: New dimensions = 5 and 12
Step-by-step explanation:
Process
1.- Find the area of the first triangle
A = 3 x 10
A = 30 m²
2.- Consider that the length of the sides of the rectangle increase by "x".
base = 3 + x
height = 10 + x
3.- Calculate the value of "x"
New area = 2(30) = 60 m²
60 = (x + 3) (x + 10)
60 = x² + 13x + 30
0 = x² + 13x + 30 - 60
0 = x² + 13x - 30
Factor
0 = (x + 15)(x - 2)
x₁ = -15 x₂ = 2
4.- Find the new dimensions
New base = 10 + 2 = 12 m
New height = 3 + 2 = 5 m
