Same pattern as Nine rectangles — the area of ABCD. New numbers, new story. Try each one on paper, then check the working below — or watch it drawn out, the same way the problem above is.
Question 1
11 identical wooden planks are nailed together to build a large rectangular fence panel PQRS. 3 planks lie flat along the top and 8 planks stand upright below them, as shown. The perimeter of PQRS is 210 cm. Find the area of PQRS.
Work it out on paper, then check below. ▶ See the working
Question 2
9 identical rectangular tiles are used to make a mosaic panel WXYZ for a bathroom wall. 4 tiles are laid flat along the top and 5 tiles are stood upright below them, as shown. The perimeter of WXYZ is 174 cm. Find the area of WXYZ.
Work it out on paper, then check below. ▶ See the working
Question 3
7 identical rectangular photo frames are mounted together to form a large rectangular display board EFGH for a school exhibition. 2 frames lie flat along the top and 5 frames stand upright below them, as shown. The perimeter of EFGH is 204 cm. Find the area of EFGH.
Work it out on paper, then check below. ▶ See the working