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

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:

$b \times h$.

So, area of parallelogram = $b \times h$

Area of parallelogram = $3.5 units \times 2 units$

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 = $b \times h$

1.8 square units = $3 \times h$

h = $\frac{1.8}{3}$ 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 = $b \times h$

$20.4 = b \times 4$

b = $\frac{20.4}{4}$

b = 5.1 units

Therefore, the base of the parallelogram is 5.1 units.

Answer 2

Answer:

a)

 Area= 7 square units

b)

  Height= 0.6 units

c)

 Base= 5.1 units

Step-by-step explanation:

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

$Area=b\times h$

a)

   b=3.5 units

h=2 units

The area of parallelogram is:

$Area=2\times 3.5\\\\Area=7\ \text{square units}$

b)

b=3 units

Area= 1.8 square units

Hence, we have:

$1.8=3\times h\\\\h=\dfrac{1.8}{3}\\\\h=0.6\ \text{units}$

c)

Area= 20.4 square units

h=4 units

Hence,

$20.4=4\times b\\\\b=\dfrac{20.4}{4}\\\\b=5.1\ \text{units}$