Question

sketch the graph of the linear equation,3x+5y=15 on a graph paper. Find the area of the figure so formed by this line and the coordinate axes​

Answer 1

To Find:

Area of the figure formed by coordinate axes and line 3x+5y=15

Graph:

See the attachment

Solution:

We know that,

• Area of a triangle A is given by

A= 1/2×b×h

where,

b is the length of base of triangle

h is the length of height of triangle

$\rule{190}{1}$

From the diagram, it is clear that figure formed by the intersection of given line and coordinate axes is Triangle.

Also, from the diagram

In ∆ABC

AB is base of triangle of length 5 units

AC is height of triangle of length 3 units

$\rule{190}{1}$

Now,

Let the area of the given triangle be A

So,

A= 1/2×b×h

A= 1/2×5×3

A= 1/2×15

A= 15/2

A= 7.5 sq. unit

Hence, the area of the figure formed is 7.5 sq. unit.

Answer 2

To Find:

Area of the figure formed by coordinate axes and line 3x+5y=15

Graph:

See the attachment

Solution:

We know that,

Area of a triangle A is given by

A= 1/2×b×h

where,

b is the length of base of triangle

h is the length of height of triangle

From the diagram, it is clear that figure formed by the intersection of given line and To Find:

Area of the figure formed by coordinate axes and line 3x+5y=15

Graph:

See the attachment

Solution:

We know that,

Area of a triangle A is given by

A= 1/2×b×h

where,

b is the length of base of triangle

h is the length of height of triangle

From the diagram, it is clear that figure formed by the intersection of given line and coordinate axes is Triangle.

Also, from the diagram

In ∆ABC

AB is base of triangle of length 5 units

AC is height of triangle of length 3 units

Now,

Let the area of the given triangle be A

So,

A= 1/2×b×h

A= 1/2×5×3

A= 1/2×15

A= 15/2

A= 7.5 sq. unit

Hence, the area of the figure formed is 7.5 sq. unit. axes is Triangle.

Also, from the diagram

In ∆ABC

AB is base of triangle of length 5 units

AC is height of triangle of length 3 units

Now,

Let the area of the given triangle be A

So,

A= 1/2×b×h

A= 1/2×5×3

A= 1/2×15

A= 15/2

A= 7.5 sq. unit

Hence, the area of the figure formed is 7.5 sq. unit.