Area Questions

• What is the area (in square units) of the figure enclosed by the graphs of the lines x = -4, x = 2, y = -2 and y = 3?
• Length and breadth of a rectangle are increased by 40% and 70% respectively. What will be the percentage increase in the area of rectangle?
• X and Y are the mid points of sides AB and AC of a triangle ABC. If BC+XY=12 units, then BC-XY is
• The point of intersection of all the three medians of a triangle is called its
• In a triangle, the distance of the centroid from the three vertices is 4cm, 6cm and 8cm respectively. Then the length of the smallest median is:
• The length of the two parallel sides of a trapezium are 16 m and 20 m respectively. If its height is 10 m, its area in square metres is
• Let O be the orthocentre of the triangle ABC. If ∠BOC = 150°, Then ∠BAC is
• What is the area (in sq cm) of a rectangle of perimeter 48 cm and breadth 10 cm?
• The areas of two similar triangles ΔXYZ and ΔPQR are 100 sq cms and 25 sq cms respectively. If PQ = 4 cm then what is the length of XY (in cm)?
• What is the area (in sq cm) of a regular hexagon of side 6 cm?
• What is the reflection of the point (2, -3.5) in the y-axis?
• Point A divides segment BC in the ratio 1:3. Co-ordinates of B are (4,-4) and C are (0,6). What are the co-ordinates of point A?
• What is the slope of the line parallel to the line passing through the points (-2, -1) and (4, -3)?
• ΔXYZ is similar to ΔPQR. If ratio of perimeters of ΔXYZ : ΔPQR is 3:2 and if PQ = 6 cm then what is the length of XY (in cm)?
• What is the reflection of the point (5, 3) in the line y = -2?
• D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3 and area of ΔADE is 4 sq cm, what is the area (in sq cm) of quadrilateral BDEC.
• Δ LMN is right angled at M. If m∠N = 45°, what is the length of MN (in cm), if NL = 9√2 cm?
• What is the area (in sq cm) of a rhombus if the lengths of the diagonals are 12 cm and 14 cm?
• What is the reflection of the point (-0.5, 6) in the x-axis?
• The areas of two similar triangles ΔABC and ΔPQR are 36 sq cms and 9 sq cms respectively. If PQ = 4 cm then what is the length of AB (in cm)?