# Ratio of the area of triangle and rectangle

• Dec 17th 2012, 07:37 PM
rcs
Ratio of the area of triangle and rectangle
A triangle and rectangle have equal bases. If the altitude of the triangle is 25% longer than that of the rectangle , find the ratio of the area of the rectangle to that of the. Rectangle.

can anybody help me understand the problem... I can visualize how it looks like and how to get the ratio of the area

thanks
• Dec 17th 2012, 08:11 PM
chiro
Re: Ratio of the area of triangle and rectangle
Hey rcs.

What is the formula for the area of a triangle and a rectangle?

Hint: consider that the h in 1/2*b*1.25*h for the triangle is that area whereas b*h is the area of the rectangle.
• Dec 17th 2012, 09:19 PM
rcs
Re: Ratio of the area of triangle and rectangle
Quote:

Originally Posted by chiro
Hey rcs.

What is the formula for the area of a triangle and a rectangle?

Hint: consider that the h in 1/2*b*1.25*h for the triangle is that area whereas b*h is the area of the rectangle.

A=1/2 *b* (0.25h +h)
For triangle

A=b*h

I could not give the numeral value... I'm stuck how is it done?
• Dec 17th 2012, 09:21 PM
rcs
Re: Ratio of the area of triangle and rectangle
According to the book I've read... It is 5:8.

• Dec 17th 2012, 09:27 PM
MarkFL
Re: Ratio of the area of triangle and rectangle
The ratio of the area of the triangle to that of the rectangle is:

$\displaystyle \frac{1}{2}b\cdot\frac{5}{4}h:bh$

$\displaystyle \frac{5}{8}:1$

$\displaystyle 5:8$
• Dec 18th 2012, 03:33 AM
rcs
Re: Ratio of the area of triangle and rectangle
Thanks Sir Mark