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…

Question

asked Feb 15, 2021 163k views

2 Answers

Rakib · Answer 1 · 2021-02-21T05:41:51+0000

Answer:

29 square yards

Explanation:

see attachment for the graph

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

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

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

In order to find the area of rectangular pool =Length × Breadth

=√52 ×√13=13×2=26 sq. yard

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

PQ= 2 units, QR= 3 units

Area of right triangle PQR=1/2 ×PQ×PR

=1/2×2×3= 3 sq. yards

Next is to find total material needed to cover( that includes bot rectangular pool and triangular hot tub)

= Area of rectangle + Area of right triangle

=26+3=29 square yards