To find the area of a rhombus or a kite, we use the same formula:
Area = (Diagonal 1 × Diagonal 2) ÷ 2
This works because both shapes have diagonals that cross at right angles, and the area is half the product of those two diagonals.
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Let’s solve each problem one by one.
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Problem 1: Find the area of each rhombus
a)
Given:
CE = 5 ft → this is one diagonal
FD = 7 ft → this is the other diagonal
Area = (5 × 7) ÷ 2 = 35 ÷ 2 =
17.5 ft²
b)
Given:
QS = 13 cm → one diagonal
TR = 15 cm → other diagonal
Area = (13 × 15) ÷ 2 = 195 ÷ 2 =
97.5 cm²
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Problem 2: Find the area of each kite
a)
AC = 6 ft
BD = 10 ft
Area = (6 × 10) ÷ 2 = 60 ÷ 2 =
30 ft²
b)
PR = 16 m
SQ = 12 m
Area = (16 × 12) ÷ 2 = 192 ÷ 2 =
96 m²
c)
EG = 28 mm
HF = 22 mm
Area = (28 × 22) ÷ 2 = 616 ÷ 2 =
308 mm²
d)
KM = 24 m
NL = 18 m
Area = (24 × 18) ÷ 2 = 432 ÷ 2 =
216 m²
e)
HJ = 9 yd → one diagonal
KI = 11 yd → other diagonal
Area = (9 × 11) ÷ 2 = 99 ÷ 2 =
49.5 yd²
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Final Answer:
1a) 17.5 ft²
1b) 97.5 cm²
2a) 30 ft²
2b) 96 m²
2c) 308 mm²
2d) 216 m²
2e) 49.5 yd²
Parent Tip: Review the logic above to help your child master the concept of area of a rhombus worksheet.
