# Math Help - Help me geometric problem

1. ## Help me geometric problem

An isosceles triangle and a rectangle share a common base . the area of the rectangle is 5 times the area of the triangle . If the area of the triangle is 60 centimeter square . and its height is 5cm .find the dimensions in centimeters of the rectangle.

Thanks

Sri

2. The area of the triangle is $60 cm^2$ and the height is $5cm$ which means $\frac{1}{2}5b = 60$. Solving for the base length we get $b=24 cm$. Since the rectangle has an area 5 times that of the triangle its area is 300. But area of a rectanlge is base times height. We know the base if $24 cm$ therefore the height must be $\frac{300}{24} = 12.5$