Question
In figure, find the area of $\triangle\text{GEF}.$

Answer

Given:
  1. ABCD is a rectangle.
  2. CD = 6cm
  3. AD = 8cm
To find: Area of rectangle $\triangle\text{GEF}.$ Calculation: We know that, Area of parallelogram = base × height If a triangle and a parallelogram are on the same base and between the same parallels , the area of the triangle is equal to half of the parallelogram Here we can see that rectangle ABCD and Parallelogram GEF are between the same base and same parallels. Hence, Area of Rectangle $\triangle\text{GEF}=\frac{1}{2}\text{Area of parallelogram ABCD}$$=\frac{1}{2}\times\text{AD}\times\text{CD}$
$=\frac{1}{2}\times8\times6$
$=24\text{cm}^2$
Hence we get the result as Area of $\triangle\text{GEF}=24\text{cm}^2$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Out of 100 persons in a group, 72 persons speak English and 43 persons speak French. Each one out of 100 persons speak at least one language. Then how many speak only English? How many speak only French ? How many of them speak English and French both?
Draw the graphs of the equations x = 2 and y = -3.
Construct △ ABC, in which side BC = 7 cm, ∠B = 40° and AC - AB = 3 cm.
Draw any equilateral triangle. Draw incircle and circumcircle of it. What did you observe while doing this activity? (Textbook pg. no. 85)
i. While drawing incircle and circumcircle, do the angle bisectors and perpendicular bisectors coincide with each other?
ii. Do the incentre and circumcenter coincide with each other? If so, what can be the reason of it?
iii. Measure the radii of incircle and circumcircle and write their ratio.
In □ABCD, side BC || side AD, side AB ≅ side DC. If ∠A = 72°, then find the measures of ∠B and ∠D.
Construction: Draw seg BP ⊥ side AD, A – P – D, seg CQ ⊥ side AD, A – Q – D.
In the given figure, ABCD is a rectangle with sides AB = 10cm and AD = 5cm. Find the area of $\triangle\text{EFG}.$
In figure, X and Y are the mid points of AC and AB respectively, QP || BC and CYQ and BXP are straight lines. Prove that $\text{ar}(\triangle\text{ABP})=\text{ar}(\triangle\text{ACQ}).$
A = {1,2,3, 5, 7,9,11,13}
B = {1,2,4, 6, 8,12,13}
Verify the above rule for the given set A and set B.
Construct △ ABC in which BC = 6.3 cm, ∠B = 75° and AB + AC = 9 cm.
In the given figure, ABCD is a quadrilateral in which AD = BC and $\angle\text{ADC}=\angle\text{BCD}.$ Show that the points A, B, C, D lie on a circle.