Question 1 :
A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle. Find the area of the signal board, using Heron’s formula if its perimeter is 180 cm?

Question 2 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1baf59b460d7261f4b4.JPG' /> Refer to the above image. Kamla has a triangular field with sides 240 m, 200 m, 360 m, where she grew wheat. In another triangular field with sides 240 m, 320 m, 400 m adjacent to the previous field, she wanted to grow potatoes and onions. She divided the field in two parts by joining the mid-point of the longest side to the opposite vertex and grew potatoes in one part and onions in the other part. How much area is been used for wheat ? $\begin{pmatrix}1\ hectare = 10000 m^2\end{pmatrix}$

Question 3 :
Write True or False. The cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of Rs 3 per $m^2$ is Rs 918.

Question 4 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d135f59b460d7261f3f6.JPG' /> From the above image, how much paper of green shade is needed to make a kite in which ABCD is a square with diagonal 44 cm?

Question 5 :
The sides of a quadrilateral ABCD are 6 cm, 8 cm, 12 cm and 14 cm (taken in order) respectively, and the angle between the first two sides is a right angle. Find its area.

Question 6 :
Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.

Question 7 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1bcf59b460d7261f4b7.JPG' /> Refer to the above image. Students of a school staged a rally for cleanliness campaign. They walked through the lanes in two groups. One group walked through the lanes AB, BC and CA; while the other through AC, CD and DA. Then they cleaned the area enclosed within their lanes. If AB = 9 m, BC = 40 m, CD = 15 m, DA = 28 m and $\angle B = 90^{\circ}$, Find the total area cleaned by the students.

Question 8 :
A triangular park ABC has sides 120m, 80m and 50m. A gardener Dhania has to put a fence all around it and also plant grass inside. How much area does she need to plant?

Question 9 :
The perimeter of a triangle is 50 cm. One side of a triangle is 4 cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. Find the area of the triangle.

Question 10 :
Write True or False. The area of the equilateral triangle is $20\sqrt{3}cm^2$ whose each side is 8 cm.

Question 11 :
ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD

Question 12 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d104f59b460d7261f3ad.jpg' /> In the above figure, X and Y are points on the side LN of triangle LMN such that LX = XY = YN. If X, a line is drawn parallel to LM to meet MN at Z. State TRUE or FALSE that: ar (LZY) = ar (MZYX).

Question 13 :
The area of the figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 12 cm and 16 cm is

Question 14 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d10ef59b460d7261f3bc.jpg' /> In the above figure, ABCD is a parallelogram. Points P and Q on BC trisects BC in three equal parts. Is $ar\left(APQ\right)$ = $ar\left(DPQ\right)$ = $\frac{1}{6}ar\left(ABCD\right)$?

Question 15 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d109f59b460d7261f3b5.jpg' /> In the above figure, ABCD is a trapezium with $AB\ \parallel\ DC$ and L is the mid-point of BC. Through L, a line $PQ\ \parallel\ AD$ has been drawn which meets AB in P and DC produced in Q. Is ar (ABCD) = ar (APQD)?

Question 16 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d10df59b460d7261f3ba.jpg' /> In the above figure, if X and Y are the mid-points of AC and AB respectively,QP|| BC and CYQ and BXP are straight lines. Then $ar\left(\triangle ABP\right)=ar\left(\triangle ACQ\right)$. State whether the statement is TRUE or FALSE.

Question 17 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d103f59b460d7261f3ac.jpg' /> In the above figure, PSDA is a parellelogram. Points Q and R are taken on PS such that PQ = QR = RS and $PA\ \parallel\ QB\ \parallel\ RC$. Is ar (PQE) = ar (CFD)?

Question 18 :
A point E is taken on the side BC of a parallelogram ABCD. AE and DC are produced to meet at F. Is ar (ADF) = ar (ABFC)?

Question 19 :
The medians BE and CF of a triangle ABC intersects at G. Is the area of $\triangle GBC=$area of the quadrilateral AFGE?

Question 20 :
The mid-point of the sides of a triangle along with any of the vertices as the fourth point make a parallelogram of area equal to