Dig Deeper There are several basic facial markings on
horses. Like fingerprints, no two are
precisely the same.
A brown horse named Star has a white diamond on its
forehead. The diamond is 6 inches tall and
4 inches
wide.
Is this enough information to determine the area
of the
diamond? Explain.

Consider a general convex quadrilateral. A diagonal will divide it into two triangles. The heights of each of those, measured perpendicular to the diagonal, will sum to the width of an enclosing rectangle that has one side parallel to the diagonal. The area formula for triangles tells you the area of the quadrilateral is half the product of the length and width of that enclosing rectangle

If the diagonals cross at right angles, the dimensions of the enclosing rectangle are those of the diagonals. The area of the quadrilateral is half the rectangle area.

Yes, the area can be determined:

A = 1/2(6 in)(4 in) = 12 in²

Dig Deeper There are several basic facial markings on horses. Like fingerprints, no two are precisely the same. A brown horse named Star has a white diamond on its forehead. The diamond is 6 inches tall and 4 inches wide. Is this enough information to determine the area of the diamond? Explain.

Respuesta :

Area

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Dig Deeper There are several basic facial markings on
horses. Like fingerprints, no two are
precisely the same.
A brown horse named Star has a white diamond on its
forehead. The diamond is 6 inches tall and
4 inches
wide.
Is this enough information to determine the area
of the
diamond? Explain.