Question

Find the area and perimeter of a square plot of land, the length of whose diagonals is 15m.Give your answer to correct 2decimal places

Answer 1

112.50m²

Step-by-step explanation:

by phythagoras,

15²=side²+side²

225=2a²

a²=225/2

area of sq=112.50m²

Answer 2

Step-by-step explanation:

diagonal =15m

side =x

BD square= BC square+ CD square

15×15 = x square+x square

15×15 = 2x square

15×15/2=x square

225/2 =x square

112.50=x square

side of square=112.50

area of square=s × s

= 112.50×112.50

=12656.25

perimeter of square= 4s

=4×112.50

=450

side=112.50

perimeter=450

area=12656.25

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