BECE Mathematics 2018 Paper

Length $=10\,\text{cm}$Breadth is unknownSince we are given the perimeter, we have to use the concept of perimeter to solve for the breadthPerimeter is the sum of all the dimensions of the shapePerimeter $=26\,\text{cm}$Perimeter $=2\times$ Length $+2\times$ BreadthLet breadth = B$26=2\times10+2\times B$$26=20+2B$$26-20=2B$$6=2B$Divide both sides by 2 Cancel out$B=3$Since we know the length and breadth of the rectangle, we can calculate the areaArea $=$ Length $\times$ BreadthLength $=10\,\text{cm}$Breadth $=3\,\text{cm}$Area $=10\,\text{cm}\times3\,\text{cm}$Area $=30\,\text{cm}^2$