# Calculate the area of a rectangle with a side of 6 cm and a diagonal of 10 cm.

July 28, 2021 | education

| The task:

width of rectangle b – 6 centimeters,

diagonal c – 10 centimeters,

the area of the rectangle S -? square centimeters.

Solution:

1) calculate the length of the rectangle using the Pythagorean theorem:

c ^ 2 = a ^ 2 + b ^ 2,

a ^ 2 = c ^ 2 – b ^ 2 = 10 ^ 2 – 6 ^ 2 = 100 – 36 = 64,

a = 8 centimeters;

2) define the area of the rectangle:

S = a b = 8 6 = 48 square centimeters.

Answer: the area of the rectangle is S = 48 cm ^ 2.

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