Question

PQRS is a square. Diagonals PR and QS intersect each other at O. If ar(∆POQ) is 4 cm²,

find ar(PQRS).​

Answer 1

Answer:

$8 \: {cm}^{2}$

Step-by-step explanation:

area of triangle is 1/2 bh

Given area is 4cm

since it is a square, the sides of triangle formed by the diagonals are equal

so, b=h=x

$1 \div 2 \times b \times h = 4 \\ {x}^{2} = 8$

area of square is side square

so, the area of square is 8 cm square

Answer 2

Step-by-step explanation:

8 cm².

I hope this helps you.