Answer : The length of the base of the banner is, 9 m
Step-by-step explanation :
Let the base length of the banner be, x
So, the height of the banner will be, 4x
Formula used :
Area of triangle = [tex]\frac{1}{2}\times Base\times Height[/tex]
Given:
Area of triangle = 18 m²
Area of triangle = [tex]\frac{1}{2}\times Base\times Height[/tex]
18 m² = [tex]\frac{1}{2}\times (x)\times (4x)[/tex]
[tex]18m^2=2x^2[/tex]
[tex]x=3m[/tex]
Length of the base of the banner = x = 9 m
Height of the banner = 4x = 4 × 9 = 36 m
Therefore, the length of the base of the banner is, 9 m
