Question

Please help I will rate the best answer and 5 star

Answer 1

f=6

g=8

Explanation:

If ABCE is a trapezium, AD is parallel to BC, and angle C is a right angle, ABCD must be a rectangle. You know that since ABCE has an area of 60 and ABCD has an area of 48, ADE must have an area of 12. Because the area of a triangle is bh/2, AD must be 6 and therefore f must be as well. Since ABCD has an area of 48, g must be 48/6=8. Hope this helps!

Answer 2

f = 6 cm, g = 8 cm

Explanation:

Area of ABCE = 60 cm²

While,

Area of ABCD = 48 cm²

This shows that,

Area of ΔADE = 12 cm²

So,

`(1)/(2) * (b*h) = 12`

Where b is DE = 4 cm and h is AD which needs to be found

=> 2h = 12

Dividing both sides by 2

=> h = 6 cm

Since AD is parallel to BC and is also equal, So,

=> AD = BC = 6 cm

So, f = 6 cm

Now we need to find g

Since ABCD is a rectangle and the area of it is 48, so we'll find g as:

Length * Width = 48

6 * g = 48

Dividing both sides by 6, we get

g = 8 cm