SaiBook.us Geometry

Home Course Section

Schedule Admission Social

Lesson Example Discussion Quiz: Class Homework

Step-5

Title: Quadrilaterals( Trapezium , Parallelogram)

Grade: 6-a Lesson: S2-L6

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	A trapezoid with base 2 of 20 meters and base 1 twice the size of base 2 has an area of 390 square meters. Find the height.
2	Step	The area is given as	390 sq.mtrs
3	Step	The base 2 is	20 mtrs
4	Step	The base 1 is twice the size of base 2	\$2 \times 20 = 40 "mtrs"\$
5	Step	The formula for the area of a trapezoid:	\$"Area" = (1/2) \times ("base"1 + "base"2) \times "height"\$
6	Step	Plug in these values into the formula:	390 square meters = \$(1/2) \times (40 "meters" + 20 "meters") \times "height"\$
7	Step	Now, solve for the height (h):	390 square meters = \$30 "meters" \times "height"\$
8	Step	Divide both sides by 30 meters:	height = \$(390 "square meters") / 30 "meters"\$ height = 13 mtrs
9	Step	So, the height of the trapezoid is 13 meters.
10	SumUp	Can you summarize what you’ve understood in the above steps?
11	Choice.A	This is not correct answer using trapezoid area formula. Height found using given values	12 meters
12	Choice.B	This is correct answer using trapezoid area formula. Height found using given values	13 meters
13	Choice.C	This is not correct answer using trapezoid area formula. Height found using given values	14 meters
14	Choice.D	This is not correct answer using trapezoid area formula. Height found using given values	15 meters
15	Answer	Option	B
16	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

A trapezoid with base 2 of 20 meters and base 1 twice the size of base 2 has an area of 390 square meters. Find the height.

Step

The area is given as

390 sq.mtrs

Step

The base 2 is

20 mtrs

Step

The base 1 is twice the size of base 2

\$2 \times 20 = 40 "mtrs"\$

Step

The formula for the area of a trapezoid:

\$"Area" = (1/2) \times ("base"1 + "base"2) \times "height"\$

Step

Plug in these values into the formula:

390 square meters = \$(1/2) \times (40 "meters" + 20 "meters") \times "height"\$

Step

Now, solve for the height (h):

390 square meters = \$30 "meters" \times "height"\$

Step

Divide both sides by 30 meters:

height = \$(390 "square meters") / 30 "meters"\$

height = 13 mtrs

Step

So, the height of the trapezoid is 13 meters.

SumUp

Can you summarize what you’ve understood in the above steps?

Choice.A

This is not correct answer using trapezoid area formula. Height found using given values

12 meters

Choice.B

This is correct answer using trapezoid area formula. Height found using given values

13 meters

Choice.C

This is not correct answer using trapezoid area formula. Height found using given values

14 meters

Choice.D

This is not correct answer using trapezoid area formula. Height found using given values

15 meters

Answer

Option

SumUp

Can you summarize what you’ve understood in the above steps?