Question

Hey guys !!
Please solve the following questions:
1)Find the area of a rhombus whose side is 5 cm and altitude is 6 CM .
2)Find the area of a rhombus whose altitude is 4 cm and perimeter is 36 CM .
3)Find the altitude of a rhombus whose area is 22.4 CM square and whose perimeter is 16 cm .

Answer 1

1) since, side of a rhombus = 5cm

and, altitude = 6 cm

we know that,

area of a rhombus = base × height

area of a rhombus = 5 × 6

area of a rhombus = 30 cm² [answer]

2) since, altitude of rhombus = 4 cm

and, perimeter of rhombus = 4 × side

=> 36 cm = 4 × side

take 4 to other side,

=> side = $\frac{36}{4}$

=> side = 9 cm

thus , area of rhombus

= base × height

= 9 × 4

= 36 cm² [answer]

3) perimeter of rhombus = 4 × side

=> 16 cm = 4 × side

take 4 to other side,

=> side = $\frac{16}{4}$

=> side = 4cm

now,

area of rhombus = base × height

=> 22.4cm² = 4 × height

=> 22.4 = 4 × height

=> height = $\frac{22.4}{4}$

=> height = 5.6 cm

since , height and altitude is same in rhombus,

so, altitude = 5.6 cm [answer]