The area of trapezoid ABCD is X cm².
The line AE creates triangle AED and parallelogram ABCE.
The ratio between the area of triangle AED and the area of parallelogram ABCE is 1:3.
Calculate the ratio between sides DE and EC.
\( \)\( \)The area of trapezoid ABCD is X cm².
The line AE creates triangle AED and parallelogram ABCE.
The ratio between the area of triangle AED and the area of parallelogram ABCE is 1:3.
Calculate the ratio between sides DE and EC.
Since the side BC is \( \frac{1}{3} \) side AE.
Calculate the area of the triangle:
Since the side BC is \( \frac{1}{4} \) side AE.
Calculate the area of the triangle:
Since the side BC is \( \frac{1}{5} \) side AE.
Calculate the area of the triangle:
Since the side BC is \( \frac{2}{3} \) side AE.
Calculate the area of the triangle:
The area of trapezoid ABCD is X cm².
The line AE creates triangle AED and parallelogram ABCE.
The ratio between the area of triangle AED and the area of parallelogram ABCE is 1:3.
Calculate the ratio between sides DE and EC.
To calculate the ratio between the sides we will use the existing figure:
We calculate the ratio between the sides according to the formula to find the area and then replace the data.
We know that the area of triangle ADE is equal to:
We know that the area of the parallelogram is equal to:
We replace the data in the formula given by the ratio between the areas:
We solve by cross multiplying and obtain the formula:
We open the parentheses accordingly:
We divide both sides by h:
We simplify to h:
Therefore, the ratio between is:
Since the side BC is side AE.
Calculate the area of the triangle:
6
Since the side BC is side AE.
Calculate the area of the triangle:
18
Since the side BC is side AE.
Calculate the area of the triangle:
10
Since the side BC is side AE.
Calculate the area of the triangle:
27
Since the side BC is \( \frac{5}{8} \) side AE.
Calculate the area of the triangle:
The area of the triangle below is equal to 10 cm² and its height is 5 times greater than its base.
Calculate X.
The area of trapezoid ABCD
is 30 cm².
The line AE creates triangle AED and parallelogram ABCE.
The ratio between the area of triangle AED and the area of parallelogram ABCE is 1:2.
Calculate the ratio between sides DE and EC.
Since the side BC is side AE.
Calculate the area of the triangle:
80
The area of the triangle below is equal to 10 cm² and its height is 5 times greater than its base.
Calculate X.
The area of trapezoid ABCD
is 30 cm².
The line AE creates triangle AED and parallelogram ABCE.
The ratio between the area of triangle AED and the area of parallelogram ABCE is 1:2.
Calculate the ratio between sides DE and EC.
1