Question

Please explain on how to solve this Question

Answer 1

i) ABCDEF has an area of 98m

ii) Flower bed has an area of 6m

iii) The area of the grass is 92m

Hope this helps!

Explanation:

The area of a triangle is
`(1)/(2)` × L × H

The area for the triangle flower bed will be
`(1)/(2)` × 6m × 2m or 6m.

In order to find the entire area of ABCDEF, draw a segment FC to create a trapezoid and a rectangle. The rectangle has an area of 77m ( 7 × 11 ). The trapezoid has a formula of
`(1)/(2)` × ( b + b ) × h, this would be
`(1)/(2)` × ( 10 + 11 ) × 2.

The trapezoid has an area of 21, this added to the rectangle's area of 77 equals 98m as the total area of the garden.

Subtract the area of the flower bed ( 6 ) from the area of the garden, and you get an area of 92m. This is the area of grass.