Question

In the figure below, area of triangle ABC = area of square PQRS. Find the length of the base BC of the triangle​

Answer 1

Answer:

Step-by-step explanation:

Area of PQRS = 60mX60m

                        = 3600 m^2

According to question, Area of ABC = Area of  PQRS

1/2 X 90m X BC = 3600m^2

45BC = 3600m^2

BC = 3600/45 = 80m

Answer 2

Step-by-step explanation:

Given:

Area of $ABC=$ Area of $PQRS$

$AD=90m\\PQ=QS=60m$

To find: $BC$

Calculation:

Assume $BC$ to be $x$

Area for $ABC$

$=\frac{1}{2} *BC*AD\\=\frac{1}{2} *x*90\\=45x$

Area for $PQRS$:

$=PQ*QS\\=60*60\\=3600m^{2}$

Since area of triangle and square are equal:

$45x=3600\\x=80m$

$BC=80m$

Answer:

Base is $80m.$