Question

(i) What is the perimeter of the square?

a. 16 cm b. 16 cm2

c. 36 cm d. 36 cm2

(ii) What is the perimeter of the rectangle?

a. 24 cm b. 24 cm2

c. 22 cm d. 22 cm2

( iii) What is the area of the square?

a. 16 cm b. 16 cm2

c. 36 cm d. 36 cm2

( iv) What is the area of the rectangle?

a. 24 cm b. 24 cm2

c. 22 cm d. 22 cm2

(v) What is the difference between the perimeter of square and rectangle?

a. 12 cm b. 12 cm2

c. 6 cm d. 6 cm2​

Answer 1

Step-by-step explanation:

P=16cm

A Area

16

cm²

Using the formulas

A=a2

P=4a

Solving forP

P=4A=4·16=16cm

Rectangle

Solve for perimeter

P≈46.13cm

d Diagonal

22

cm

A Area

24

cm²

Using the formulas

A=wl

P=2(l+w)

d=w2+l2

There are 2 solutions forP

P=2d2+2d4﹣4A21

2d2+A﹣1

2d4﹣4A2

A=2·222+2·224﹣4·242·1

2·222+24﹣1

2·224﹣4·242

24≈46.13025cm

P=2d2﹣2d4﹣4A21

2d2+A+1

2d4﹣4A2

A=2·222﹣2·224﹣4·242·1

2·222+24+1

2·224﹣4·242

24≈46.13025cm

1. A=648cm²
2. d Diagonal
3. 36
4. cm
5. Using the formulas
6. A=a2
7. d=2a
8. Solving forA
9. A=1
10. 2d2=1
11. 2·362=648cm²
12. A=wl I length
13. The perimeter of a square is the total length of the four equal sides of the square. The perimeter of a rectangle is the total length of the two lengths and two widths of the rectangle.