A quadrilateral field is surveyed by measuring one diagonal, which is 44 m long, and then the perpendicular distances (offsets) from the two remaining opposite corners to that diagonal, which are 13 m and 9 m. Find the area of the field in m².

Question

Accepted Answer

484. The diagonal splits the quadrilateral into two triangles that share it as a base. Area = ½ × diagonal × (sum of the offsets) = ½ × 44 × (13 + 9) = ½ × 44 × 22 = 484 m².

A quadrilateral field is surveyed by measuring one diagonal, which is 44 $m$ long, and then the perpendicular distances (offsets) from the two remaining opposite corners to that diagonal, which are 13 $m$ and 9 $m$ . Find the area of the field in $m^{2}$ .

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More Areas & Volumes practice

A quadrilateral field is surveyed by measuring one diagonal, which is 44 m long, and then the perpendicular distances (offsets) from the two remaining opposite corners to that diagonal, which are 13 m and 9 m. Find the area of the field in m2.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

A quadrilateral field is surveyed by measuring one diagonal, which is 44 $m$ long, and then the perpendicular distances (offsets) from the two remaining opposite corners to that diagonal, which are 13 $m$ and 9 $m$ . Find the area of the field in $m^{2}$ .