# Math Help - Ratio of the area of triangle and rectangle

1. ## 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

2. ## 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.

3. ## Re: Ratio of the area of triangle and rectangle

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?

4. ## Re: Ratio of the area of triangle and rectangle

According to the book I've read... It is 5:8.

How is it possible please

5. ## Re: Ratio of the area of triangle and rectangle

The ratio of the area of the triangle to that of the rectangle is:

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

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

$5:8$

6. ## Re: Ratio of the area of triangle and rectangle

Thanks Sir Mark