Question

20. In a society, residents decide to build a park for children and a parking area. ABC shows the park and DEFG shown the parking as shown below

Answer 1

Answer:

i) b

ii) c

iii) a

iv) c

hope it helped

Answer 2

Answer:

(i) option (a)

(ii) option (c)

(iii) option(b)

(iv) option (b)

(v) option (c)

Step-by-step explanation:

(i) To find,

The coordinates of the point A

Recall the concepts:

The x coordinate of a point is the distance of the point from Y axis. and y-coordinate of a point is the distance of the point from the X-axis

x- coordinate of A =   Distance of the point A from Y axis =  1 unit

y- coordinate of A =   Distance of the point A from X axis =  2 units

∴ The coordinates of A = (1,2)

Hence the correct answer is option (a) (1,2)

(ii) Recall the concept:

For all points lying in the x-axis, y coordinate = 0

x- coordinate of D =   Distance of the point D from Y axis =  5 units

Since the point D lies on the X axis, the y coordinate of D = 0

∴ The coordinates of D = (5,0)

Hence the correct answer is option (c) (5,0)

(iii) x- coordinate of F =   Distance of the point F from Y axis =  8 units

y- coordinate of F =   Distance of the point F from X axis =  3 units

∴ The coordinates of F = (8,3)

Hence the correct answer is option (b)(8,3)

(iv) To find,

Area of the park

Recall the formula

Area of the triangle = $\frac{1}{2}$×base × height  

Area of the park = Area of the triangle ABC

= $\frac{1}{2}$×AB × AC

Length of AB = 2 units

Length of AC = 2 units

Area of ΔABC = $\frac{1}{2}$×2 × 2  = 2 square units

Area of the park 2 square units.

The correct answer is option (b) 2 sq.units

(v) Area of the parking = Area of DEFG

Area of a square = side × side

Area of DEFG = DE × EF

Length of DE = 3 units

Length of EF = 3 units

Area of DEFG = 9 sq.units

The correct answer is option (c) 9    

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