MathBrush

Practice

Same pattern as Rectangles ABDF and BCEF — length of BC. 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

In a park, ABDF and BCEF are two rectangular flower beds, and CDE is a straight edging path. AB = 9 m, AF = 12 m and BF = 15 m. Find the length of BC.

Two rectangular flower beds, ABDF and BCEF, share the edge BF, and C, D, E lie on one straight path.9 m12 m15 m?ABDFCE

Work it out on paper, then check below. ▶ See the working

Question 2

A quilter is stitching two rectangular fabric patches, ABDF and BCEF, joined along a straight seam CDE. AB = 12 cm, AF = 16 cm and BF = 20 cm. Find the length of BC.

Two rectangular quilt patches, ABDF and BCEF, share the edge BF, and C, D, E lie on one straight seam.12 cm16 cm20 cm?ABDFCE

Work it out on paper, then check below. ▶ See the working

Question 3

A kite maker joins two rectangular fabric panels, ABDF and BCEF, along a straight seam CDE. AB = 15 cm, AF = 20 cm and BF = 25 cm. Find the length of BC.

Two rectangular kite panels, ABDF and BCEF, share the edge BF, and C, D, E lie on one straight seam.15 cm20 cm25 cm?ABDFCE

Work it out on paper, then check below. ▶ See the working

The working