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Algebra Measurement Formulae
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Algebra Measurement Formulae
Use the formulae given in each question. Show your working and include suitable units in measurement answers.
Substitute values into measurement formulae
Calculate each measurement by substituting the given values into the formula.
1.A rectangle has length 9.5 m and width 4 m. Use A = lw to find its area.
2.A rectangular sign measures 14 cm by 6.5 cm. Find its perimeter using P = 2l + 2w.
3.A storage container is a rectangular prism with length 2.4 m, width 1.5 m and height 0.8 m. Calculate its volume using V = lwh.
4.A triangular sail has base 3.6 m and perpendicular height 2.5 m. Find its area using A = ½bh.
Rearrange measurement formulae
Write each formula with the requested variable as the subject.
5.Rearrange A = lw to make l the subject.
6.Make w the subject of P = 2l + 2w.
7.Rearrange A = ½bh to make b the subject.
Apply formulae to measurement problems
Choose the relevant relationship, substitute the known measurements and solve.
8.A rectangular patio has an area of 63 m² and a length of 9 m. Using A = lw, calculate the patio's width.
9.A rectangular water tank has a volume of 1.26 m³. Its base is 1.2 m long and 0.7 m wide. Use V = lwh to find the tank's height.
10.A rectangular paddock has a perimeter of 260 m. Its length is three times its width. Let the width be w metres. Form an equation using P = 2l + 2w, then find both dimensions.
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