To make this problem easier to solve lets simplify the problem by

breaking it down into parts. Firstly lets list down the points given in

the question:

We signify the length of the triangle's base by 'B'

So,

Base=B

Height= 4 times the base

OR

Height= 4 B

The formula of the area of the triangle is:

Area= 1/2 * Base * Height

The area of the triangle is given so now we would compute in the values in the area formula to find the height and the base:

18=1/2*B*4B

18=1/2*4(B^2)

Now we would keep B to one side of the equation and shift all the other to the other side. Hence,

18/(1/2)=4B^2

36=4B^2

36/4=B^2

9=B^2

Therefore B=3

We now have the length of the Base and we would use the equation we

made for the length above to find out the value of the length. Hence,

L=4B

L=4(3)

L=12

Summing up we have obtained the answers:

Base= 3 and Length=12

breaking it down into parts. Firstly lets list down the points given in

the question:

We signify the length of the triangle's base by 'B'

So,

Base=B

Height= 4 times the base

OR

Height= 4 B

The formula of the area of the triangle is:

Area= 1/2 * Base * Height

The area of the triangle is given so now we would compute in the values in the area formula to find the height and the base:

18=1/2*B*4B

18=1/2*4(B^2)

Now we would keep B to one side of the equation and shift all the other to the other side. Hence,

18/(1/2)=4B^2

36=4B^2

36/4=B^2

9=B^2

Therefore B=3

We now have the length of the Base and we would use the equation we

made for the length above to find out the value of the length. Hence,

L=4B

L=4(3)

L=12

Summing up we have obtained the answers:

Base= 3 and Length=12