Answer:
B: 2(17.53) + 2 = 37.06 cm
L: 17.53 cm
Step-by-step explanation:
Let breadth: 2x + 2
Let length: x
Using Pythagorean theorem:
41^2 = x^2 + (2 + 2x)^2
1681 = x^2 + 4 + 8x + 4x^2
1681 = 5x^2 + 8x + 4
5x^2 + 8x - 1677 = 0
Solve by quadratic formula:
x = -4/5 + 1/5 sqrt(8401)
x = 17.53 cm
Breadth: 2(17.53) + 2 = 37.06 cm
Length: 17.53 cm
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
B: 2(17.53) + 2 = 37.06 cm
L: 17.53 cm
Step-by-step explanation:
Let breadth: 2x + 2
Let length: x
Using Pythagorean theorem:
41^2 = x^2 + (2 + 2x)^2
1681 = x^2 + 4 + 8x + 4x^2
1681 = 5x^2 + 8x + 4
5x^2 + 8x - 1677 = 0
Solve by quadratic formula:
x = -4/5 + 1/5 sqrt(8401)
x = 17.53 cm
Breadth: 2(17.53) + 2 = 37.06 cm
Length: 17.53 cm