Respuesta :

○=> Correct option :

[tex]\color{hotpink}\tt\bold{(a)\ \: 74.42}[/tex]

○=> Steps to derive correct option :

Length of side of patio A = 12 yards

Area of patio A which is a square :

[tex] =\tt side \times side[/tex]

[tex] =\tt 12 \times 12[/tex]

[tex]\color{plum} = \tt144 \: {yards}^{2} [/tex]

Thus, Area of patio A = 144 yards²

Length of side of patio B = 6.1 yards

Area of patio B which is a square :

[tex] =\tt side \times side[/tex]

[tex] = \tt6.1 \times 6.1[/tex]

[tex]\color{plum} = \tt37.21 \: {yards}^{2} [/tex]

Length of side of the second patio B = 6.1 yards

Area of this patio :

[tex] =\tt 6.1 \times 6.1[/tex]

[tex]\color{plum} = \tt37.21 \: yards[/tex]

Total area of Patio B :

= Area of first patio B + Area of second patio B

[tex] =\tt 37.21 + 37.21[/tex]

[tex]\color{plum} = \tt74.42 \: {yards}^{2} [/tex]

Thus :

▪︎Area of patio A = 144 yards²

▪︎Area of patio B = 74.42 yards²

▪︎Therefore, the correct option is (a) 74.42

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