Casey wants to put new carpet in her bedroom. a drawing of casey's room is below. it consists of two sections: a square and a rectangle. the rectangular section has the same width as the square section, but twice the length. if one side of the square section measures 3 yards, how many square yards of carpet should casey buy for her room? a. 27 square yards b. 36 square yards c. 18 square yards d. 24 square yards

1. 1st and 3rd side: 1^2+1^2=a^2, a^2=2, a=root2      2nd and 4th side: 3^2+3^2=b^2, b^2=18, b=3*root2area of rectangle is: a= 2*a+2*b, a=2*root2+2*3*root2, a=8*root2=11.3137088498984762. 1st side: a=4      2nd sode: b^2=1^2+3^2, b^2=10, b=root10      3rd side: c^2=5^2+3^2, c^2=34, c=root34a=root(s(s-a)*(s-b)*(s- s=(a+b+c)\2, s=(4+root10+root34)\2, s=6.496614778, s-a=2.496614778, s-b=3.334337118, s-c=0.6656628832a=7.3991277883. 1st side: a=8      2nd and 5th side: b=7      3rd and 4th side: c^2=4^2+5^2, c^2=32, c=root32, c=4*root2we can split this perimeter into rectangle of area 2*a+2*b=30, and triangle of area (a*4)/2=16.a=30+16=46