Question

Can you PLEASE do this
1. ABCD is a parallelogram, what specific name can be given to it, if AB=AD and
∠DAB = 90° ?
(a) Rectangle (b) Rhombus (c) Kite (d) Square

2. The sum of the interior angles of a Heptagon is______
(a) 360° (b) 720° (c) 900° (d) 1080°

3. If the area of a quadrilateral is 35cm
powered 2 with the perpendiculars being 8.3cm and 5.7cm
then the length of its diagonal is____________
(a) 14cm (b) 5cm (c) 10cm (d) 15cm

4. A regular polygon has 40 sides. Find the measures of the interior and exterior angles of the polygon.

5. In exchange for a square plot of side 84m, a man wants to buy a rectangular plot 144m long and of the same area as of the square plot. Find the width of the rectangular plot.

6.The length of the parallel sides of the trapezium are in ratio 3 : 2 and the distance
between them is 10cm . If the area of the trapezium is 325 cm power 2. Find length of the parallel sides
7.The floor of a building consists of 3000 tiles which are rhombus shaped .The
perimeter of each tile is 80 m and one of its diagonals measures 24 m . Find the total
cost of polishing the floor, if the cost per 100m power 2 is ₹ 4.

Answer 1

Answer:

1. ABCD is a parallelogram, what specific name can be given to it, if AB=AD and

∠DAB = 90° ?

(d) Square

2. The sum of the interior angles of a Heptagon is

(c) 900°

3. If the area of a quadrilateral is 35cm

powered 2 with the perpendiculars being 8.3cm and 5.7cm

then the length of its diagonal is (a) 14cm

4. A regular polygon has 40 sides. Find the measures of the interior and exterior angles of the polygon.- Answer: A regular polygon with an exterior angle measure of 40 degrees has nine sides. Every polygon's exterior angle sum equals 360. So 360/40 equals nine.

5. In exchange for a square plot of side 84m, a man wants to buy a rectangular plot 144m long and of the same area as of the square plot. Find the width of the rectangular plot.- Now, the man wants to exchange it with a rectangular plot of the same area with length 144. Hence, the width of the rectangular plot is 49 m.

6.The length of the parallel sides of the trapezium are in ratio 3 : 2 and the distance

between them is 10cm . If the area of the trapezium is 325 cm power 2. Find length of the parallel sides- Let the parallel sides of trapezium be 4x and 7x

Height =DE=14 m (given)

Area =385 m

2

(given)

Area of trapazium =

2

1

(AB+CD)×DE

⇒385=

2

1

(7x+4x)×14

⇒11×7x=385

⇒x=5 m

∴ the sides are 4x=4×5=20 m

7x=7×5=35 m

7.The floor of a building consists of 3000 tiles which are rhombus shaped .The

perimeter of each tile is 80 m and one of its diagonals measures 24 m . Find the total

cost of polishing the floor, if the cost per 100m power 2 is ₹ 4.

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