Question

Find the perimeter of a rectangle whose length is 150 m and the diagonal is 170 m

Answer 1

460 m

Explanation:

Use right triangle PSR with right angle S to find the length of PS.

The Pythagorean theorem can be used for this.

a^2 + b^2 = c^2

(PS)^2 + (SR)^2 = (PR)^2

(PS)^2 + (150 m)^2 = (170 m)^2

(PS)^2 = 22500 m^2 = 28900 m^2

(PS)^2 = 6400 m^2

PS = 80 m

PS = 80 m; SR = 150 m

perimeter = 2(length + width)

perimeter = 2(150 m + 80 m)

perimeter = 2(230 m)

perimeter = 460 m