Areas Quiz Set 007

Let L = 9x and B = 7x. Perimeter = 2 × (9x + 7x) = speed × time = (15 × 384)/60 = 96 km. So x = 3, and L = 9x = 27 km.

Let L = 19x and B = 4x. We are given (19x × 4x) = 304, which gives x = 2. So perimeter = 2 × ((19 × 2) + (4 × 2)) × = 92 meters.

Let X be the radius of the circle, so the side of the square is 2X. The ratio of the perimeters = ${2 × π × X}/{4 × (2X)}$ = π/4.

Area of a square is L² = 64, which gives L = 8. If three sides have to be fenced, the required length = 3 × L = 3 × 8 = 24 m.

If the radius of the circle is R, then the side of an inscribed square is $√2 × R$, so the area is 2 × R² = 2 × 19² = 722 sq. m.