The Evan's family has a backyard that is in the shape of a rectangle. One side is 48 ft and the other side is 50 ft. They are doing some construction. The Evan's family will build a flower bed in the center of the yard. It will be a square with sides measuring 14ft. After the flower bed is dug up they will place grass in the remaining area. How much grass should the Evan's purhcase?

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

answer: x=60

the answer is 13 cm

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x