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Answer:
Area of B = 609 cm^2.
Explanation:
A:B = 5:3 so
A/B = 5/3 .............(1)
also we are guven that
A + B = 1624..........(2)
From equation (1) 3A + 5B so
B = 3A / 5 = 0.6A.
Substitute for B in equation (2):
A + 0.6A = 1624
A = 1624/ 1.6
A = 1015
and B = 1624 - 1015
= 609 cm^2.
A
Sum the parts of the ratio, 5 + 3 = 8 parts
Divide the total area by 8 to find the value of one part of the ratio.
1624 ÷ 8 = 203 cm² ← value of 1 part of ratio, thus
Area of B = 3 × 203 = 609 cm² → A
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