RectangleVEXQOMIRA / GEOMETRY 07
Rectangle Vexqomira

Follow a worked example.

Every example below can be loaded using its calculator’s Reset example button. Inputs use centimetres, square centimetres or cubic centimetres as labelled, while angles use degrees.

Length and width

Given: Length a = 8; Width b = 5.

A = ab; P = 2(a+b); d = √(a²+b²)
MeasurementCalculated value
Length8 cm
Width5 cm
Area40 cm²
Perimeter26 cm
Diagonal9.4339811 cm

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Diagonal and one side

Given: Diagonal d = 10; Known side a = 6.

b = √(d²−a²)
MeasurementCalculated value
Length6 cm
Width8 cm
Area48 cm²
Perimeter28 cm
Diagonal10 cm

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Area and one side

Given: Area A = 40; Known side a = 8.

b = A/a
MeasurementCalculated value
Length8 cm
Width5 cm
Area40 cm²
Perimeter26 cm
Diagonal9.4339811 cm

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Perimeter and one side

Given: Perimeter P = 26; Known side a = 8.

b = P/2−a
MeasurementCalculated value
Length8 cm
Width5 cm
Area40 cm²
Perimeter26 cm
Diagonal9.4339811 cm

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Check the answer’s dimensions

An area contains a product of two lengths, while volume contains three. A perimeter or radius is still a length. If your input measurements are mixed between metres and centimetres, convert them to a common unit first. A realistic-looking number can still be wrong if the units were inconsistent.