Question

Each unit on the coordinate grid represents 1 yard. The rectangular pool and triangular hot tub shown are both in need of covers. How much total material is needed to cover both? square yards
Plz give details, I don't understand the concept of this problem!

Answer 1

Vertices of rectangular pool are A(3,2),B(7,8),C (4,10), and D (0,4).

AB=$\sqrt{(7-3)^{2}+(8-2)^{2}}= \sqrt{16+36}=\sqrt{52}$ yard=CD

BC=$\sqrt{(7-4)^{2}+(8-10)^{2}}=\sqrt{9+4}=\sqrt{13}$ yard=DA

Area of rectangular pool=Length × Breadth

                                         =√52 ×√13=13×2=26 square yard

Vertices of triangle are P(5,2),Q(7,2) and R(7,5).

PQ= 2 units, QR= 3 units

Area of right triangle PQR= $\frac{1}{2}$×PQ×PR

                                            =$\frac{1}{2}$×2×3= 3 square yards

Total material needed to cover bot rectangular pool and triangular hot tub= Area of rectangle + Area of right triangle=26+3=29 square yards

Answer 2

Answer:

the answer is 29

Step-by-step explanation: