Question

A parallelogram has a base of 3.5 units and a corresponding height of 2 units What is the area (look at picture)

Answer 1

a)

Area= 7 square units

b)

Height= 0.6 units

c)

Base= 5.1 units

Explanation:

We know that the area of a parallelogram with base b and height h is given by:

`Area=b* h`

a)

b=3.5 units

h=2 units

The area of parallelogram is:

`Area=2* 3.5\\\\Area=7\ \text{square units}`

b)

b=3 units

Area= 1.8 square units

Hence, we have:

`1.8=3* h\\\\h=(1.8)/(3)\\\\h=0.6\ \text{units}`

c)

Area= 20.4 square units

h=4 units

Hence,

`20.4=4* b\\\\b=(20.4)/(4)\\\\b=5.1\ \text{units}`

Answer 2

Question 5:

a) Given: A parallelogram with base = 3.5 units and height = 2 units.

We have to determine the area of the parallelogram.

Area of parallelogram with base 'b' and height 'h' is given by the formula:

`b * h`.

So, area of parallelogram =
`b * h`

Area of parallelogram =
`3.5 units * 2 units`

Area = 7 square units.

Therefore, the area of the parallelogram is 7 square units.

b) Given: A parallelogram with base = 3 units and area = 1.8 square units.

We have to determine the height of the parallelogram.

Since, area of parallelogram =
`b * h`

1.8 square units =
`3 * h`

h =
`(1.8)/(3)` units

h = 0.6 units

Therefore, the height of the parallelogram is 0.6 units.

c) Given a parallelogram with area = 20.4 square units and height = 4 units

We have to determine the base of the parallelogram.

Area of parallelogram =
`b * h`

`20.4 = b * 4`

b =
`(20.4)/(4)`

b = 5.1 units

Therefore, the base of the parallelogram is 5.1 units.