A parallelogram and a triangle are on equal base and between the same parallel l

Question

A parallelogram and a triangle are on equal base and between the same parallel lines. The ratio of their areas is ______.

Options:

A . 2:1

B . 3:1

C . 2:3

D . 1:2

Answer: Option A
:
A
Consider the figure given below.

A Parallelogram And A Triangle Are On Equal Base And Between...

In this figure, ABCD is a parallelogram and ABE is a triangle. Both of them have the same base i.e., AB. The perpendicular EF is an altitude for both triangle and parallelogram.
Now area of

Δ A B E = \frac{1}{2} A B \times E F

And area of parallelogram is

A B \times E F

.
Hence, Area of parallelogram is twice that of triangle and the ratio will be 2:1

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. In the adjoining figure, ΔQPR is right-angled at Q in which QR = 6 cm and PQ = 7 cm. Find the area of ΔQSR, given tha....area of ΔQSR, given that PS is parallel to QR.

Question 2. ABCD is a trapezium in which AB || DC. Diagonals AC and BD intersect each other at O. Find the triangle which is equ....other at O. Find the triangle which is equal to the area of △ BOC.

Question 3. The part of the plane enclosed by a simple closed figure is called a ___ region. ....

Question 4. ABCD is a parallelogram whose area is 54 cm2. The area of triangle AEB is __ cm2.....

Question 5. What is the area of △ABC (in square cm) if AD is the median and area △ADB= 18 square cm?__....

Question 6. In the rectangle ABCD, O is any point inside the rectangle. If area( ΔAOD) = 30 cm2 and area( ΔBOC) = 60 cm2, area of....60 cm2, area of the rectangle ABCD is___(in cm2)

Question 7. ABC is a triangle in which D, E, F are the mid-points of BC, AC and AB respectively. If Area (ΔABC) = 32 cm2, then area....then area of trapezium BFEC is ______

Question 8. If AD is median of ΔABC and P is a point on AC such that ar(ΔADP) : ar(ΔABD) = 2 : 3, then ar(ΔPDC) : ar(ΔABC) is....

Question 9. In the given figure, ABCDE is a pentagon with AC = 5 cm. A line through B parallel to AC meets DC produced at F. If the ....(perpendicular to AC) is 6 cm. Find the area of triangle ACF.

Question 10. Two triangles have the same base and equal areas have their vertex lying on the same side of their base. The line joinin....joining the two apexes will be _______ to their base.

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0

Submit Solution

More Questions on This Topic :

Latest Videos

Latest Test Papers