The area of a rectangle carpet is 120 sq m and it's perimeter is 46m. Find the length of its diagonals.
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Step-by-step explanation:
AREA OF RECTANGLE = L * B = 120 M²
L=120/B
PERIMETER OF RECTANGLE = 2(L+B)= 46
L+B= 23
120/B+ B=23
B²-23B+120=0
FROM HERE B=8 m
L= 23-8 = 15m
by Pythagoras theorem
L²+ B² = D²
15²+ 8² = D²
D²=225+64
D=√289
D=17 M
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