(x + 5)(x + 2) = 45
x^2 +7x +10 = 45
x^2 +7x -35 = 0
x = (-7 + sqrt(49 +140))/2
x = 3.374
5.374 * 8.374 = 45.001876 - which is close enough.
Or ??!! ⬇️
Lets say length is L and Breadth is B
So L x B=45 ^2= 2025
L-5=B-2 ( sides of the square are equal)
Or L-B=3
From elementary algebra We know that
(L+B)^2=(L-B)^2+4LB=3^2+4x2025 =9+8100
=8109
So L+B=sqrt(8109)=90 approximately Adding L+B and L-B we get 2L=93 L=46.5or side of square =46.5- 5=41.5 cm approximately
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Wolf Boehrendt
, Diploma (Master) Mathematics & Physics, University of Tübingen (1969)
Answered 1year ago
· Author has 785 answers and 326.8K answer views