Question

In the following figure, ABCD is a square of side V50 units and side BE is 1 unit. Find the area of
the square EFGH​

Answer 1

Answer:

36 sq units

Step-by-step explanation:

in triangle BEC

BEC is right angled triangle as EFGH is a square

${bc}^{2} = {be}^{2} + {ce}^{2} \\ 50 = 1 + {ce}^{2} \\ {ce}^{2} = 49 \\ ce = 7$

EF = CE-CF

EF = 7-1=6

area of square EFGH = 6*6= 36

or area of square abcd = 50

area of triangle BEC = (1/2)*7*1 =7/2

area of 4 such triangles = 4*7/2 =14

area of square EFGH = 50-14 = 36