Question

Two squares drawn on a same base but of different edge length of
difference of their area is 36sqcm, find the edge length of larger square if difference of their edge length is 3cm ​

Answer 1

Step-by-step explanation:

Area of a square ABCD = (Side)² = 36 cm² = 6²

AB=BC=CD=DA=6 cm

Let P is the midpoint of AB, Q is the midpoint of BC, R is the midpoint of CD and S is the midpoint of DA.

To evaluate the area of square PQRS, find value of PQ.

In △PQB

PB=1/2 ×AB = 6/2 = 3 cm and

BQ=1/2 ×BC = 6/2 = 3 cm

PQ²=PB²+BQ²=(3)²+(3)²=9+9=18=(3√2)²

Or, PQ = 3√2 cm

PQ=QR=RS=SP=3√2 cm

Area of the square PQRS = (Side)² = (3√2)² = 18 cm²

Therefore, Area of the square PQRS = 18 cm²

pls folløw ❤️

Answer 2

Step-by-step explanation:

I hope you are understand well.