Question

Area of two gardens G1 and G2 are shown in the given graph. Which of the following is incorrect about the gardens?

• A. Perimeter of G1 and G2 are the same
• B. Area of G2 is greater than area of G1
• C. Side AB of G1 is equal to side PQ of G2
• D. Length of G1 is greater than length of G2

Answer 1

The correct option is C Side AB of G1 is equal to side PQ of G2

The given graph is


The first option is, 'Area of G2 is greater than area of G1'

Length of the garden G1 = AB = 6 units

Width of the garden G1 = BC = 3 units

Area of G1 = length $\times$width

= 6 $\times$ 3 = 18 sq units


Area of G2 = length$\times$width

Length of garden G2 = PQ = 5 units

Width of garden G2 = QR = 4 units

Area of G2= 5$\times$4 = 20 sq units

Hence, area of G2 is greater than area of G1.

This option is true.



The second option is, 'Perimeter of G1 and G2 are the same'.

Perimeter of G1 = 2(6+3) = 2 $\times$ 9 = 18 units

Perimeter of G2 =2(5+4) = 2$\times$9 = 18 units

Hence, perimeter of G1 and G2 are the same.

This option is true.



The third option is, 'Side AB of G1 is equal to side PQ of G2'

Side AB of ABCD = 6 units

Side PQ of PQRS = 5 units

Hence, this option is false.



The last option is. 'Length of G1 is greater than length of G2'

Length of G1 = 6 units

Length of G2 = 5 units

Hence, length of G1 is greater than length of G1.

Hence, this option is true.