A triangle in the plane has area

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

A triangle in the plane has area 8 square units8\text{ square units}. It is mapped to a new triangle by the transformation (x,y)↦(2x+3y+1, −x+4y−2)(x,y)\mapsto\bigl(2x+3y+1,\,-x+4y-2\bigr). Determine the area of the image. (a) 64 square units64\text{ square units} (b) 88 square units88\text{ square units} (c) 11 square units11\text{ square units} (d) 40 square units40\text{ square units}

Related theory

Browse the problem library