Mr Kumar stands three identical equilateral triangular wooden blocks, Block A, Block B and Block C, upright in a straight groove on his workbench. Each block rests with its bottom edge lying flat along the groove. Block A is on the left, Block B is in the middle and Block C is on the right. Block B overlaps Block A when seen from the front, and Block B also overlaps Block C, but Block A and Block C do not overlap each other. Measured along the groove: • the distance from the left corner of Block A to the left corner of Block B is 25 cm, • the distance from the left corner of Block C to the right corner of Block B is 5 cm, • the distance from the right corner of Block A to the right corner of Block C is 52 cm. The shaded parts are the part of Block A that is not hidden by Block B, and the part of Block C that is not hidden by Block B. (a) Find the length of one side of a block. (b) Find the total perimeter of the two shaded parts.
Opening the drawing…
MathBrush is being tested with a few parent groups, and every solution on the site is open to them. If you were given a code, it goes in once and this device remembers it. 65 worked examples are free to everyone without one.