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
