Jacinto está cercando un terreno de forma rectangular. Cuando lleva puesto alambre a dos lados consecutivos de la tierra, se da cuenta que ha gastado 170 m de alambre. Si sabe que la diagonal del rectángulo mide 130 m, ¿cuáles son las dimensiones y el área del terreno?

Step-by-step explanation:

Given the perimeter of the rectangular shape = 170m

Length of the diagonal = 130m

Perimeter = 2L + 2W

diagonal d² = L² + w²

L is the length of the terrain

w is the width

140 = 2L + 2W

70 = L+W 1

130² = L²+w² 2

from 1, L = 70-w

substitute into 2;

130² = (70-w)²+w²

130² = 4900-140w + 2w²

16900 = 4900-140w + 2w²

2w²-140w - 12000 = 0

w²-70w - 6000 = 0

On factorizing;

(w+50)(w−120) = 0

w - 120 = 0

w = 120 m

Since L = 70 - w

L = 70 - 120

L = -50m

Hence the dimension is 120m by 50 m

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

the correct answer is 1: 2

step-by-step explanation:

hope this your welcome : )