int x1 = a.x(), y1 = a.y(),
        x2 = x1 + a.width(), y2 = y1 + a.height();

    long double dx = (right - left) * 1.0 / this->width(),
            dy = (top - bottom) * 1.0 / this->height();

    long double xr1 = left + x1 * dx, yr1 = bottom + y1 * dy,
                xr2 = left + x2 * dx, yr2 = bottom + y2 * dy;

    left = xr1, right = xr2, bottom = yr1, top = yr2;