Question

The area of rectangle carpet is 120m and its perimeter is 46 cm.The length of its diagonal is
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Answer 1

area of a rectangle = l × b

120 = l × b

l = 120/b

perimeter of a rectangle = 2(l+b)

46 = 2( 120/b + b)

23 = 120 + ${b^2 /b}$

23b = 120 + ${b^2}$

${b^2}$ - 23b + 120 = 0

${b^2}$ - 15b - 8b + 120 = 0

b(b-15) - 8(b - 15)

(b-8)(b-15)

$\boxed{b \:=\: 8 \:or\: 15}$

diagonal = √l^2 - b^2
√ 15×15 - 8×8
= 15 × 8
=120 cm

$\huge\red{brainliest\:plz}$ ❤️